Existence of anti-periodic solutions for Ψ-Caputo-type fractional p-Laplacian problems via Leray--Schauder degree theory

Abstract

Abstract The main crux of this work is to study the existence of solutions for a certain type of nonlinear Ψ-Caputo fractional differential equations with anti-periodic boundary conditions and p-Laplacian operator. The proofs are based on the Leray–Schauder degree theory and some basic concepts of Ψ-Caputo fractional calculus. As an application, our theoretical result has been illustrated by providing a suitable example.