Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

Abstract

In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions. We apply endpoint theory, Krasnoselskii’s multi-valued fixed point theorem and Wegrzyk's fixed point theorem for generalized contractions. For the illustration of our results, we include examples.

Keywords

• riemann-liouville fractional derivative
• inclusions
• erdélyi-kober fractional integral
• endpoint theory
• krasnoselskii’s multi-valued fixed point theorem
• wegrzyk’s fixed point theorem
• primary 34a08
• 34a12. secondary 34a60