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A generalized Wintgen inequality in quaternion Kähler geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-11 Mohd. Danish Siddiqi, Aliya Naaz Siddiqui, Kamran Ahmad
In this paper, we establish a generalized Wintgen inequality for quaternionic bi-slant submanifolds and QR-submanifolds (with minimal codimension) in quaternion space forms. We also aim to characterize the second fundamental form of those submanifolds for which the equality cases can hold. Finally, we provide examples of submanifolds embedded in quaternion space forms to support our results.
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Two-wave interaction solutions of perturbation and CKdVE integrability for (2+1)-D CDGKS equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-09 Xiaorong Kang, Daquan Xian, Lizhu Xian, Kelong Zheng
By the Hirota bilinear method, some new interaction solutions with the complex perturbation for CDGKS equation are obtained. Meanwhile, with the help of the classical nonlinear KdV equation, many new exact solutions of CDGKS equation are derived through the CKdVE method, since it satisfies the CKdVE solvability. Two typical examples also show the local geometric characteristics of the parameter perturbation
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Cosmological solutions in the Brans–Dicke theory via invariants of symmetry groups Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-09 E. Ahmadi-Azar, K. Atazadeh, A. Eghbali
We proceed to obtain an exact analytical solution of the Brans–Dicke (BD) equations for the spatially flat (k=0) Friedmann–Lamaître–Robertson–Walker (FLRW) cosmological model in both cases of the absence and presence of the cosmological constant. The solution method that we use to solve the field equations of the BD equations is called the “invariants of symmetry groups method” (ISG method). This method
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Isotropic compact stars admitting Heintzmann solution in Rastall gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-09 Arfa Waseem
This paper is devoted to observe the physical attributes of static spherically symmetric isotropic compact stellar candidates in the context of Rastall theory of gravity. In order to inspect the structural composition of compact objects, the Heintzmann ansatz is taken into account. The unknown parameters associated with Heintzmann ansatz are evaluated through matching conditions with derived values
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Investigating the equation-of-state, stability and mass–radius relationship of anisotropic and massive neutron stars embedded in f(R,T) modified gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-09 Mayukh Bandyopadhyay, Ritabrata Biswas
In this study, our main focus is to investigate the mass–radius relation and several important properties of massive neutron stars to realize the nature, behavior and evolution of these kinds of compact objects at present time. Also, we want to understand the equation-of-state of the core nuclear matter precisely with their stable equilibrium configuration. We have chosen a few massive binary pulsars
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Equilibrium States of Endomorphisms of $\mathbb{P}^{k}$ : Spectral Stability and Limit Theorems Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-05-13 Fabrizio Bianchi, Tien-Cuong Dinh
We establish the existence of a spectral gap for the transfer operator induced on \(\mathbb{P}^{k} = \mathbb{P}^{k} (\mathbb{C})\) by a generic holomorphic endomorphism and a suitable continuous weight and its perturbations on various functional spaces, which is new even in dimension one. Thanks to the spectral gap, we establish an exponential speed of convergence for the equidistribution of the backward
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SOLITON SOLUTIONS FOR THE TWO-DIMENSIONAL LOCAL FRACTIONAL BOUSSINESQ EQUATION Fractals (IF 4.7) Pub Date : 2024-05-09 KUN YIN, XINGJIE YAN
In this work we study the two-dimensional local fractional Boussinesq equation. Based on the basic definitions and properties of the local fractional derivatives and bilinear form, we studied the soliton solutions of non-differentiable type with the generalized functions defined on Cantor sets by using bilinear method. Meanwhile, we discuss the result when fractal dimension is 1, and compare it with
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FRACTAL CHARACTERISTICS OF CORE DISKING FRACTURE SURFACES Fractals (IF 4.7) Pub Date : 2024-05-09 JIA-SHUN LUO, YA-CHEN XIE, JIAN-XING LIAO, XU-NING WU, YAN-LI FANG, LIANG-CHAO HUANG, MING-ZHONG GAO, MICHAEL Z. HOU
The morphological characteristics of core disking can reflect the in-situ stress field characteristics to a certain extent, but a quantitative description method for disking-induced fracture surfaces is needed. The fractal geometry was introduced to refine the three-dimensional characteristics of the core disking fracture surfaces, and the disking mechanism was explored through morphological characteristics
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AN IMAGE ENCRYPTION TECHNIQUE BASED ON DISCRETE WAVELET TRANSFORM AND FRACTIONAL CHAOTIC CRYPTOVIROLOGY Fractals (IF 4.7) Pub Date : 2024-05-08 WALAA M. ABD-ELHAFIEZ, MAHMOUD ABDEL-ATY, XIAO-JUN YANG, AWATEF BALOBAID
In this paper, we present a new encryption method based on discrete wavelet transform (DWT). This method provides a number of advantages as a pseudo randomness and sensitivity due to the variation of the initial values. We start by decomposing the image with spatial reconstruction by DWT, followed by preformation by fractional chaotic cryptovirology and Henon map keys for space encryption. Bearing
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NEW CONJECTURES FOR THE ENTIRE FUNCTIONS ASSOCIATED WITH FRACTIONAL CALCULUS Fractals (IF 4.7) Pub Date : 2024-05-08 XIAO-JUN YANG
In this paper, we address the entire Fourier sine and cosine integrals related to the Mittag-Leffler function. We guess that the entire functions have the real zeros in the entire complex plane. They can be connected with the well-known conjectures in analytic number theory. They are considered as the special solutions for the time-fractional diffusion equation within the Caputo fractional derivative
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ON A TEMPERED XI FUNCTION ASSOCIATED WITH THE RIEMANN XI FUNCTION Fractals (IF 4.7) Pub Date : 2024-05-07 XIAO-JUN YANG
In this paper, we propose a tempered xi function obtained by the recombination of the decomposable functions for the Riemann xi function for the first time. We first obtain its functional equation and series representation. We then suggest three equivalent open problems for the zeros for it. We finally consider its behaviors on the critical line.
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THE SCALING-LAW FLOWS: AN ATTEMPT AT SCALING-LAW VECTOR CALCULUS Fractals (IF 4.7) Pub Date : 2024-05-07 XIAO-JUN YANG
In this paper, the scaling-law vector calculus, which is connected between the vector calculus and the scaling law in fractal geometry, is addressed based on the Leibniz derivative and Stieltjes integral for the first time. The scaling-law Gauss–Ostrogradsky-like, Stokes-like and Green-like theorems, and Green-like identities are considered in sense of the scaling-law vector calculus. The strong and
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Similarity reduction, group analysis, conservation laws, and explicit solutions for the time-fractional deformed KdV equation of fifth order Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-08 Rasha B. Al-Denari, Engy. A. Ahmed, Aly R. Seadawy, S. M. Moawad, O. H. EL-Kalaawy
Through this paper, we consider the time-fractional deformed fifth-order Korteweg–de Vries (KdV) equation. First of all, we detect its symmetries by Lie group analysis with the help of Riemann–Liouville (R-L) fractional derivatives. These symmetries are employed to convert the considered equation into a fractional ordinary differential (FOD) equation in the sense of Erdélyi-Kober (E-K) fractional operator
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Lie symmetry scheme to the generalized Korteweg–de Vries equation with Riemann–Liouville fractional derivative Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-04 Jian-Gen Liu, Xiu-Rong Guo, Lin-Lin Gui
The Korteweg–de Vries (KdV) equation is an essential model to characterize shallow water waves in fluid mechanics. Here, we investigated the generalized time and time-space fractional KdV equation with fractional derivative of Riemann–Liouville. At the beginning of, we applied the fractional Lie symmetry scheme to derive their symmetry, respectively. We found that the vector fields of these considered
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Study of acoustic thin-shell wormholes with different types of matter distributions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-04 Ghulam Fatima, Faisal Javed, Arfa Waseem, Ghulam Mustafa, Fairouz Tchier
The development and stability of acoustic thin-shell wormholes (WHs) within the context of acoustic black holes are examined in this paper. Utilizing linearized radial perturbations, the stability of these WHs is examined. In this study, a variety of equations of state are taken into account, including barotropic, variable Chaplygin, and phantom-like equations of state. According to the findings, the
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An analysis of the Yang 𝕐-function class extension through its incomplete functions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-07 K. Kritika, S. D. Purohit
The new generalized hypergeometric function (Yang 𝕐-function) described by the contour-type Mellin–Barnes integral representation serves as the inspiration for this study. The incomplete Yang 𝕐-functions γ𝕐r,sp,q(z) and Γ𝕐r,sp,q(z) that we shall introduce here are the appropriate extension of a class of 𝕐-functions by merit of the gamma functions of incomplete type, γ(σ,x) and Γ(σ,x). In this
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A geometric framework for interstellar discourse on fundamental physical structures Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-07 Giampiero Esposito, Valeria Fionda
This paper considers the possibility that abstract thinking and advanced synthesis skills might encourage extraterrestrial civilizations to accept communication with mankind on Earth. For this purpose, a notation not relying upon the use of alphabet and numbers is proposed, in order to denote just some basic geometric structures of current physical theories: vector fields, 1-form fields, and tensor
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Nonperturbative thermodynamic extrinsic curvature of the anyon gas Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-05-07 Mahnaz Tavakoli Kachi, Behrouz Mirza, Fatemeh Sadat Hashemi
Thermodynamic extrinsic curvature is a new mathematical tool in thermodynamic geometry. By using the thermodynamic extrinsic curvature, one may obtain a more complete geometric representation of the critical phenomena and thermodynamics. We introduce nonperturbative thermodynamic extrinsic curvature of an ideal two-dimensional gas of anyons. Using extrinsic curvature, we find new fixed points in nonperturbative
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NEW SPECIAL FUNCTIONS APPLIED TO REPRESENT THE WEIERSTRASS–MANDELBROT FUNCTION Fractals (IF 4.7) Pub Date : 2024-05-04 XIAO-JUN YANG, LU-LU GENG, YU-RONG FAN
This work is devoted to the subtrigonometric and subhyperbolic functions in terms of theWiman class for the first time. The conjectures for the subsine and subcosine functions are considered in detail. The Weierstrass–Mandelbrot function is represented as the hyperbolic subsine, and hyperbolic subcosine functions to get new results for the nondifferentiable functions.
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EXACT TRAVELING WAVE SOLUTIONS OF THE COUPLED LOCAL FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS FOR OPTICAL SOLITONS ON CANTOR SETS Fractals (IF 4.7) Pub Date : 2024-05-04 LEI FU, YUAN-HONG BI, JING-JING LI, HONG-WEI YANG
Optical soliton is a physical phenomenon in which the waveforms and energy of optical fibers remain unchanged during propagation, which has important application value in information transmission. In this paper, the coupled nonlinear Schrödinger equations describe the propagation of optical solitons with different frequencies in sense of local fractional derivative is analyzed. The exact traveling
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ANOMALOUS DIFFUSION MODELS AND MANDELBROT SCALING-LAW SOLUTIONS Fractals (IF 4.7) Pub Date : 2024-05-04 XIAO-JUN YANG, ABDULRAHMAN ALI ALSOLAMI, XIAO-JIN YU
In this paper, the anomalous diffusion models are studied in the framework of the scaling-law calculus with the Mandelbrot scaling law. A analytical technology analogous to the Fourier transform is proposed to deal with the one-dimensional scaling-law diffusion equation. The scaling-law series formula via Kohlrausch–Williams–Watts function is efficient and accurate for finding exact solutions for the
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CALCULUS OPERATORS AND SPECIAL FUNCTIONS ASSOCIATED WITH KOHLRAUSCH–WILLIAMS–WATTS AND MITTAG-LEFFLER FUNCTIONS Fractals (IF 4.7) Pub Date : 2024-05-04 XIAO-JUN YANG, LU-LU GENG, YU-MEI PAN, XIAO-JIN YU
In this paper, many important formulas of the subtrigonometric, subhyperbolic, pretrigonometric, prehyperbolic, supertrigonometric, and superhyperbolic functions sin Wiman class are developed for the first time. The subsine, subcosine, subhyperbolic sine, and subhyperbolic cosine associated with Kohlrausch–Williams–Watts (KWW) function and their scaling-law ODEs are proposed. The supersine, supercosine
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LOCAL FRACTIONAL VARIATIONAL ITERATION TRANSFORM METHOD: A TOOL FOR SOLVING LOCAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS Fractals (IF 4.7) Pub Date : 2024-05-03 HOSSEIN JAFARI, HASSAN KAMIL JASSIM, ALI ANSARI, VAN THINH NGUYEN
In this paper, we use the local fractional variational iteration transform method LFVITM to solve a class of linear and nonlinear partial differential equations (PDEs), as well as a system of PDEs which are involving local fractional differential operators (LFDOs). The technique combines the variational iteration transform approach and the Yang–Laplace transform. To show how effective and precise the
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LAPLACE DECOMPOSITION METHOD FOR SOLVING THE TWO-DIMENSIONAL DIFFUSION PROBLEM IN FRACTAL HEAT TRANSFER Fractals (IF 4.7) Pub Date : 2024-05-03 HOSSEIN JAFARI, HASSAN KAMIL JASSIM, CANAN ÜNLÜ, VAN THINH NGUYEN
In this paper, the Local Fractional Laplace Decomposition Method (LFLDM) is used for solving a type of Two-Dimensional Fractional Diffusion Equation (TDFDE). In this method, first we apply the Laplace transform and its inverse to the main equation, and then the Adomian decomposition is used to obtain approximate/analytical solution. The accuracy and applicability of the LFLDM is shown through two examples
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Reconstruction of F(T,TG) gravity model with scalar fields Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-30 Archana Dixit, Sanjeev Gupta, Anirudh Pradhan
In this paper, we investigate the scalar field dark energy (DE) models within the context of F(T,TG) gravity. Scalar field models are known for their dynamic nature. Parameters in the dynamical equation of state are responsible for the acceleration of the cosmos in recent epochs. We determined that the power-law cosmology fits the OHD and Pantheon data nicely. Using the Bayesian analysis and likelihood
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Space-time entropy, space of singularities and gravity origin: A case study Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-30 Fayçal Ben Adda
A new definition of entropy is introduced using a model that simulates an expanding space-time compatible with the fundamental principle of cosmology. The entropy is obtained by mean of a state function that measures the variation of the space-time normal curvature, from a highly compressed space to a lower compressed space. The defined entropy leads to work out a new understanding of the earliest
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Lagrangians, SO(3)-Instantons and Mixed Equation Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-05-02 Aliakbar Daemi, Kenji Fukaya, Maksim Lipyanskiy
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A SHORT SOLUTION OF THE LOCAL FRACTIONAL (2+1)-DIMENSIONAL DISPERSIVE LONG WATER WAVE SYSTEM Fractals (IF 4.7) Pub Date : 2024-04-30 FATMA BERNA BENLI, HACI MEHMET BASKONUS, WEI GAO
In this paper, a local fractional Riccati differential equation method is applied. A new travelling wave solution to the nonlinear local fractional (2+1)-dimensional dispersive long water wave system is investigated. After travelling wave transformation, the governing model studied is converted into nonlinear ordinary differential equation. Some properties with the strain conditions are also reported
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A NEW FRACTIONAL DERIVATIVE MODEL FOR THE NON-DARCIAN SEEPAGE Fractals (IF 4.7) Pub Date : 2024-04-30 PEITAO QIU, LIANYING ZHANG, CHAO MA, BING LI, JIONG ZHU, YAN LI, YANG YU, XIAOXI BI
In this paper, a new fractional derivative model for the non-Darcian seepage within the exponential decay kernel is addressed for the first time. The new fractional derivative model is for high-speed non-Darcian and low-speed non-Darcian seepage, in which the applied zone is enlarged.
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APPROXIMATE SOLUTION FOR TIME FRACTIONAL NONLINEAR MKDV EQUATION WITHIN LOCAL FRACTIONAL OPERATORS Fractals (IF 4.7) Pub Date : 2024-04-30 JIAN-SHE SUN
In this paper, we first propose a method, which is originated from coupling local fractional Yang–Laplace transform with the Daftardar–Gejji–Jafaris method (LFYLTDGJM). The proposed method is successfully applied to solve the local time fractional nonlinear modified Korteweg–de Vries (TFNMKDV) equation. The approximate solution presented here illustrates the efficiency and accuracy of the proposed
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A NEW FREQUENCY AMPLITUDE FORMULA FOR THE LOCAL FRACTIONAL NONLINEAR OSCILLATION VIA LOCAL FRACTIONAL CALCULUS Fractals (IF 4.7) Pub Date : 2024-04-30 YONG-JU YANG, MING-CHAI YU, XUE-QIANG WANG
In this paper, we propose a new frequency amplitude formula for the local fractional nonlinear oscillation via local fractional calculus. It is more general than the He’s frequency amplitude formula. Several test cases of local fractional nonlinear oscillations are given to prove the feasibility of the improved formula.
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ON GENERAL LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED H-PREINVEX FUNCTIONS ON YANG’S FRACTAL SETS Fractals (IF 4.7) Pub Date : 2024-04-30 YONG ZHANG, WENBING SUN
In this paper, based on Yang’s fractal theory, the Hermite–Hadamard’s inequalities for generalized h-preinvex function are proved. Then, using the local fractional integral identity proposed by Sun [Some local fractional integral inequalities for generalized preinvex functions and applications to numerical quadrature, Fractals27(5) (2019) 1950071] as auxiliary function, some parameterized local fractional
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A NEW FRACTAL MODELING FOR THE NERVE IMPULSES BASED ON LOCAL FRACTIONAL DERIVATIVE Fractals (IF 4.7) Pub Date : 2024-04-30 CHUN-FU WEI
In this paper, a new fractal nerve impulses modeling is successfully described via the Yang’s local fractional derivative in a microgravity space, and its approximate analytical solution is obtained by a new Adomian decomposition method. The efficiency and accuracy analysis of the proposed method is elucidated according to the graphs. The result shows that our method is excellent and accurate in dealing
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A HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITY WITH THE KERNEL OF A HYPERBOLIC COSECANT FUNCTION Fractals (IF 4.7) Pub Date : 2024-04-30 YINGDI LIU, QIONG LIU
By using Yang’s local fractional calculus theory, the method of weight function, and real-analysis techniques in the fractal set, a general Hilbert-type local fractional integral inequality with the kernel of a hyperbolic cosecant function is established. The necessary and sufficient condition for the constant factor of the general Hilbert-type local fractional integral inequality to be the best possible
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EUROPEAN OPTION PRICING IN THE GENERALIZED MIXED WEIGHTED FRACTIONAL BROWNIAN MOTION Fractals (IF 4.7) Pub Date : 2024-04-30 FENG XU, MIAO HAN
In order to describe the self-similarity and long-range dependence of financial asset prices, this paper adopts a new fractional-type process, i.e, the generalized mixed weighted fractional Brownian motion to describe the dynamic change process of risky asset prices. A European option pricing model driven by the generalized mixed weighted fractional Brownian motion is constructed, and explicit solutions
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LYAPUNOV-TYPE INEQUALITY FOR CERTAIN HALF-LINEAR LOCAL FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS Fractals (IF 4.7) Pub Date : 2024-04-26 HAIDONG LIU, JINGJING WANG
In this paper, we establish a Lyapunov-type inequality for the half-linear local fractional ordinary differential equation based on the formulation of the local fractional derivative. In addition, we apply the inequality to investigate the non-existence and uniqueness of solutions for related homogeneous and non-homogeneous local fractional boundary value problems.
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DISTRIBUTIONAL INVARIANCE IN BINARY MULTIPLICATIVE CASCADES Fractals (IF 4.7) Pub Date : 2024-04-30 CÉSAR AGUILAR-FLORES, ALIN-ANDREI CARSTEANU
The stability properties of certain probability distribution functions under the combined effects of cascading and “dressing” in a binary multiplicative cascade are contemplated and proven herein. Their main importance for applications resides in parameterizing the multiplicative cascade generators of multifractal measures from single realizations, given the generic lack of distributional ergodicity
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Discussion of singularity-free embedding stellar structures in f(R) gravity utilizing scalar potential Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-25 Adnan Malik, Tayyaba Naz, Ummay Marwa, Piyali Bhar, Akram Ali, Z. Yousaf
In this paper, our purpose is to investigate the anisotropic stellar structure caused by f(R,ϕ) modified gravity, where R represents the Ricci scalar and ϕ represents the scalar potential. This study emphasizes the impact of static spherically symmetric stellar structures using anisotropic distribution. Furthermore, an anisotropic matter source is employed to explore the stability of star formations
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ANISOTROPY AND SIZE EFFECT OF THE FRACTAL CHARACTERISTICS OF ROCK FRACTURE SURFACES UNDER MICROWAVE IRRADIATION: AN EXPERIMENTAL RESEARCH Fractals (IF 4.7) Pub Date : 2024-04-25 BEN-GAO YANG, JING XIE, YI-MING YANG, JUN-JUN LIU, SI-QI YE, RUI-FENG TANG, MING-ZHONG GAO
Studying the rough structure characteristics of rock fracture surfaces under microwave irradiation is of a great significance for understanding the rock-breaking mechanism. Therefore, this work takes fracture surface as the research object under three failure modes: microwave irradiation, uniaxial loading and microwave-uniaxial loading. The undulation and roughness are used to describe the morphological
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THE FRACTAL STRUCTURE OF ANALYTICAL SOLUTIONS TO FRACTIONAL RICCATI EQUATION Fractals (IF 4.7) Pub Date : 2024-04-25 ZENONAS NAVICKAS, TADAS TELKSNYS, INGA TELKSNIENE, ROMAS MARCINKEVICIUS, MINVYDAS RAGULSKIS
Analytical solutions to the fractional Riccati equation are considered in this paper. Solutions to fractional differential equations are expressed in the form of fractional power series in the Caputo algebra. It is demonstrated that solutions to higher-order Riccati fractional equations inherit some solutions from lower-order Riccati equations under special initial conditions. Such nested and fractal-like
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VARIATIONAL PERSPECTIVE TO (2+1)-DIMENSIONAL KADOMTSEV–PETVIASHVILI MODEL AND ITS FRACTAL MODEL Fractals (IF 4.7) Pub Date : 2024-04-25 KANG-LE WANG
In this work, the (2+1)-dimensional Kadomtsev–Petviashvili model is investigated. A novel variational scheme, namely, the variational transform wave method (VTWM), is successfully established to seek the solitary wave solution of the Kadomtsev–Petviashvili model. Furthermore, the fractal solitary solution of fractal Kadomtsev–Petviashvili model is also studied based on the local fractional derivative
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Structural properties of compact stars in extended Teleparallel gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-22 Asifa Ashraf, Faisal Javed, Wen-Xiu Ma, G. Mustafa
In this study, the structures of stars are examined using the Karmarkar condition (KC) to assess the metric components. The study also takes into account the anisotropic source of the matter distribution in the context of Modified Teleparallel Rastall Gravity (MTRG). Various values of the model parameter η are tested by assuming different metric coefficients for the embedding spacetime. To calculate
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Bouncing behavior in f(R,Lm) gravity: Phantom crossing and energy conditions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-22 M. Koussour, N. Myrzakulov, Javlon Rayimbaev, Alnadhief H. A. Alfedeel, H. M. Elkhair
In this paper, we investigate the bouncing behavior of the universe within the framework of f(R,Lm) gravity, using a simple form of f(R,Lm)=R2+Lmγ (where γ is a free model parameter) as previously studied. The model predicts a vanishing Hubble parameter in the early and late times, with the deceleration parameter approaching a specific limit at the bouncing point. The EoS parameter is observed to cross
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Gravitational lensing in a spacetime with cosmic string within the Eddington-inspired Born–Infeld gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-22 Faizuddin Ahmed
This study explores the deflection angle of photon rays or light-like geodesics within the framework of Eddington-inspired Born–Infeld (EiBI) gravity background space-time, taking into account the influence of cosmic strings. The primary focus lies in deriving the effective potential of the system applicable to both null and time-like geodesics, as well as determining the angle of deflection for light-like
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Remarks on the global monopole topological effects on spherical symmetric potentials Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-22 K. Bakke
In this paper, we study the topological effects of the global monopole spacetime on the energy eigenvalues of spherical symmetric potentials in the nonrelativistic regime. We deal with the radial equation by using the Wentzel, Kramers and Brillouim (WKB) approximation. In the cases where the energy levels of the ℓ-waves can be achieved, the WKB approximation is used based on the Langer transformation
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SOME NEW TYPES OF GRONWALL-BELLMAN INEQUALITY ON FRACTAL SET Fractals (IF 4.7) Pub Date : 2024-04-20 GUOTAO WANG, RONG LIU
Gronwall–Bellman-type inequalities provide a very effective way to investigate the qualitative and quantitative properties of solutions of nonlinear integral and differential equations. In recent years, local fractional calculus has attracted the attention of many researchers. In this paper, based on the basic knowledge of local fractional calculus and the method of proving inequality on the set of
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Commensurations of Aut(FN) and Its Torelli Subgroup Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-04-22 Martin R. Bridson, Richard D. Wade
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INTELLIGENT EXTRACTION OF COMPLEXITY TYPES IN FRACTAL RESERVOIR AND ITS SIGNIFICANCE TO ESTIMATE TRANSPORT PROPERTY Fractals (IF 4.7) Pub Date : 2024-04-20 YI JIN, BEN ZHAO, YUNHANG YANG, JIABIN DONG, HUIBO SONG, YUNQING TIAN, JIENAN PAN
Fractal pore structure exists widely in natural reservoir and dominates its transport property. For that, more and more effort is devoted to investigate the control mechanism on mass transfer in such a complex and multi-scale system. Apparently, effective characterization of the fractal structure is of fundamental importance. Although the newly emerged concept of complexity assembly clarified the complexity
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BOX DIMENSION OF FRACTAL INTERPOLATION SURFACES WITH VERTICAL SCALING FUNCTION Fractals (IF 4.7) Pub Date : 2024-04-20 LAI JIANG
In this paper, we first present a simple lemma which allows us to estimate the box dimension of graphs of given functions by the associated oscillation sums and oscillation vectors. Then we define vertical scaling matrices of generalized affine fractal interpolation surfaces (FISs). By using these matrices, we establish relationships between oscillation vectors of different levels, which enables us
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Dark energy stars in f(R,G) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-18 Krishna Pada Das, Ujjal Debnath
In this paper, we have provided a discussion regarding the structural properties of a spherical compact stellar object within the background of f(R,G) modified gravity. We have considered that the interior region of the compact stellar body is filled by a composition of anisotropic dark energy and isotropic normal matter which are assumed to be non-interacting. To relate the two stated fluids, we have
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Deflection angle and shadow evolution from charged torus-like black hole under the effect of non-magnetic plasma and non-plasma medium Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-18 Riasat Ali, Xia Tiecheng, Muhammad Awais, Rimsha Babar
In this study, we investigate the deflection angle of a torus-like regular charged black hole in the limit approximation of a weak field to check the effects of non-magnetic plasma and non-plasma medium. Using spacetime optical geometry, we first compute the Gaussian optical curvature. We study the light deflection angle from a charged torus-like black hole using the Gibbons and Werner approach. By
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Little Rip and Pseudo Rip Cosmological Models with Coupled Dark Energy Based on a New Generalized Entropy Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-18 I. Brevik, A. V. Timoshkin
In this paper, we study Little Rip (LR) and Pseudo Rip (PR) cosmological models containing two coupled fluids: dark energy and dark matter. We assume a spatially flat Friedmann–Robertson–Walker (FRW) universe. The interaction between the dark energy and the dark matter fluid components is described in terms of the parameters in the generalized Equation of State (EoS) in presence of the bulk viscosity
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Sections and Unirulings of Families over $\mathbb{P}^{1}$ Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-04-18 Alex Pieloch
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On the N-waves hierarchy with constant boundary conditions. Spectral properties Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-13 Vladimir S. Gerdjikov, Georgi G. Grahovski
This paper is devoted to N-wave equations with constant boundary conditions related to symplectic Lie algebras. We study the spectral properties of a class of Lax operators L, whose potentials Q(x,t) tend to constants Q± for x→±∞. For special choices of Q±, we outline the spectral properties of L, the direct scattering transform and construct its fundamental analytic solutions. We generalize Wronskian
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Exploring the deceleration parameter in f(T) gravity: A comprehensive analysis using parametrization techniques and observational data Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-13 Himanshu Chaudhary, Amine Bouali, Hülya Duru, Ertan Güdekli, G. Mustafa
In this paper, we employ parametrization techniques within the framework of f(T) gravity to investigate the deceleration parameter (DP), a key quantity characterizing the universe’s expansion dynamics. By analyzing the DP, we gain valuable insights into the nature of cosmic constituents and their impact on the universe’s evolution. We utilize a combination of observational data, including 31 Cosmic
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Perfect fluid locally rotationally symmetric Bianchi Type-I spacetimes admitting concircular vector fields in f(T) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-13 Suhail Khan, Syed Majid Shah, Ahmad Tawfik Ali, Sameerah Jamal
We obtained the solutions of Einstein’s Field Equations (EFEs) for locally rotationally symmetric (LRS) Bianchi type-I perfect fluid spacetimes through the concircular vector fields (CCVFs) in f(T) gravity. It is shown that such metrics admit CCVFs of 4, 5, 6, 7, 8 and 15 dimensions. We also calculated the energy density, fluid pressure, torsion scalar T and the form of the function f(T). We did not
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A study of mixed super quasi-Einstein manifolds with applications to general relativity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-13 Mohd Vasiulla, Mohabbat Ali, İnan Ünal
In this paper, we explore a set of geometric properties of Mixed Super Quasi-Einstein (MSQE) manifolds and provide examples of both Riemannian and Lorentzian MSQE manifolds to demonstrate their existence. Furthermore, we examine MSQE spacetimes in the context of the space-matter tensor, discussing several related properties. Finally, we establish the existence of an MSQE spacetime through a nontrivial
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Dominated Splitting from Constant Periodic Data and Global Rigidity of Anosov Automorphisms Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-04-15 Jonathan DeWitt, Andrey Gogolev
We show that a \(\operatorname{GL}(d,\mathbb{R})\) cocycle over a hyperbolic system with constant periodic data has a dominated splitting whenever the periodic data indicates it should. This implies global periodic data rigidity of generic Anosov automorphisms of \(\mathbb{T}^{d}\). Further, our approach also works when the periodic data is narrow, that is, sufficiently close to constant. We can show
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ATTACK VULNERABILITY OF FRACTAL SCALE-FREE NETWORK Fractals (IF 4.7) Pub Date : 2024-04-13 FEIYAN GUO, LIN QI, YING FAN
An in-depth analysis of the attack vulnerability of fractal scale-free networks is of great significance for designing robust networks. Previous studies have mainly focused on the impact of fractal property on attack vulnerability of scale-free networks under static node attacks, while we extend the study to the cases of various types of targeted attacks, and explore the relationship between the attack
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Characterization of a special type of Ricci–Bourguignon soliton on sequential warped product manifold Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-10 Sampa Pahan, Souvik Dutta
In this paper, we aim to characterize the sequential warped product κ-almost gradient conformal Ricci–Bourguignon soliton. We derive applications of some vector fields like conformal vector field, torse-forming vector field, torqued vector field on κ-almost conformal Ricci–Bourguignon soliton. The inheritance properties of the Einstein-like sequential warped product κ-almost gradient conformal Ricci–Bourguignon