On a new class of Ψ-Hilfer fractional differential equation involving topological degree method

Abstract

This paper focuses on investigating the existence and uniqueness of solutions for a novel category of Ψ-Hilfer-type fractional differential equations. We employ the approach of topological degree theory for condensing maps to establish the existence of solutions. Additionally, to deal with the uniqueness, we utilize Banach’s contraction principle. To demonstrate the practical implications of our theoretical findings, we present an illustrative example.