On infinite system of Caputo fractional differential inclusions with boundary conditions for convex-compact multivalued mappings

Abstract

Y. Xu (2016) investigated existence results of Caputo fractional differential equations with integral and anti-periodic boundary conditions of fractional order α∈(1,2). In this paper, we investigate the existence of solutions for fractional differential equation with integral and anti-periodic boundary conditions due to Y. Xu for infinite systems in the multivalued case (inclusions). Our results are based on a suitable fixed point theorem for condensing maps due to Martelli (1975). Finally, we present an illustrative example to verify the effectiveness and applicability of the main results.

Keywords

• 26A33
• 47H10
• 34A34
• 34A60