Initial Value Problem Fractional Differential Inclusions Impulses Caputo Fractional Derivative Fractional Integral Selection Existence Fixed Point Theorem 26A33 34A37
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 15p-38p
In this paper, we establish sufficient conditions for the existence of
solutions for a class of initial value problem for impulsive fractional differential
inclusions involving the Caputo fractional derivative. Both cases of convex
and nonconvex valued right-hand side are considered. The topological
structure of the set of solutions is also considered.