This paper deals with impulsive fractional differential inclusions with a fractional order multi-point boundary condition and with fractional order impulses. By use of multi-valued analysis and topological fixed point theory, we present some existence results under both convexity and nonconvexity conditions on the multi-valued right-hand side. The compactness of the solutions set and continuous...

In the present paper, concept of almost periodic waves is introduced to discontinuous impulsive fractional inclusions involving Caputo derivative. New results on existence and uniqueness are established by using theory operator semigroups, Hausdorff measure noncompactness, fixed point theorems calculus techniques. Applications a class fractional-order gene regulatory network (GRN) models propos...

In this paper, the improved Euler method is used for solving hybrid fuzzy fractional differential equations (HFFDE) of order q ∈ (0,1) under Caputo-type fuzzy fractional derivatives. This method is based on the fractional Euler method and generalized Taylor’s formula. The accuracy and efficiency of the proposed method is demonstrated by solving numerical examples.