The purpose of this text is to propose an attempt of an extension of the Filippov-Ważewski Relaxation Theorem for a certain class of fractional differential inclusions. The classical result devoted to ordinary differential inclusions is a part of the qualitative theory: a description of the relationship between the solutions to the differential inclusion and the convexified differential inclusion was given. There exist several generalizations of that result and in this note a method is proposed so that the range of some parameters is extended. An example of a possible application may arise in control theory and the question is whether it is possible to have the same reachable set economizing the set of controls.

本文的目的是提出针对某一类分数微分包含的 Filippov-Ważewski 松弛定理的扩展尝试。普通微分包含的经典结果是定性理论的一部分：给出了微分包含的解与凸化微分包含的解之间的关系的描述。该结果存在多种概括，在本文中提出了一种方法，以便扩展某些参数的范围。控制理论中可能会出现一个可能应用的例子，问题是是否有可能拥有相同的可达集来节省控制集。