Existence Theory for q -Antiperiodic Boundary Value Problems of Sequential q -Fractional Integrodifferential Equations

Abstract

We discuss the existence and uniqueness of solutions for a new class of sequential $q$-fractional integrodifferential equations with $q$-antiperiodic boundary conditions. Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. An illustrative example is also presented.