A Study of Hybrid Hadamard Fractional Differential Inclusions with Integral Boundary Conditions

Abstract

In this manuscript, we study the existence of solutions for a class of hybrid fractional Hadamard integro-differential inclusions supplemented with hybrid Hadamard integral boundary conditions. The results are obtained by applying the hybrid fixed point theorem for three operators in a Banach algebra due to Dhage. An example is also presented to illustrate our main results.

Key words and phrases. Hadamard fractional derivative, Banach algebra, upper semicontinuous
function.

2010 Mathematics Subject Classification. 34A08, 34A38, 34B10