Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory

Abstract

This article aims to prove the existence and uniqueness of solutions to a nonlinear boundary value problem of fractional differential equations involving the Caputo-Hadamard fractional derivative with nonlocal fractional integro-differential boundary conditions. The concerned results are obtained employing topological degree for condensing maps via a priori estimate method and the Banach contraction principle fixed point theorem. Besides, two illustrative examples are presented.

Keywords

• fractional differential equations
• caputo-hadamard derivative
• fractional integral conditions
• existence
• uniqueness
• topological degree theory
• condensing maps