An Analytical Survey on the Solutions of the Generalized Double-Order φ-Integrodifferential Equation

Abstract

We study the existence of solutions for a newly configured model of a double-order integrodifferential equation including φ-Caputo double-order φ-integral boundary conditions. In this way, we use the Krasnoselskii and Leray-Schauder fixed point results. Also, we invoke the Banach contraction principle to confirm the uniqueness of the existing solutions. Finally, we provide three examples to illustrate our analytical findings.