Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative

Authors

  • Ahmed G. Ibrahim
  • Noriah Almoulhim

Keywords:

Fractional differential inclusion, semilinear functional differential inclusions, Caputo derivative, compact semigroup, nonlocal conditions, mild solutions

Abstract

In this paper, we prove various existence results of a mild solution for a fractional nonlocal functional semilinear differential inclusion involving Caputo derivative in Banach spaces. We consider the case when the values of the orient field are convex as well as nonconvex. Moreover, we study the topological structure of solution sets. Our results extend or generalize results proved in recent papers.

Downloads

Published

2014-05-12

Issue

Section

Articoli