Initial Value Problem Fractional Differential Inclusions Impulses Caputo Fractional Derivative Fractional Integral Selection Existence Fixed Point Theorem 26A33 34A37
Issue Date:
2009
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 15p-38p
Abstract:
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.
