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

Rezapour S., Ntouyas S., Iqbal M., Hussain A., Etemad S., Tariboon J.

Journal of Function Spaces, vol.2021, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2021
  • Publication Date: 2021
  • Doi Number: 10.1155/2021/6667757
  • Journal Name: Journal of Function Spaces
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Uşak University Affiliated: No

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.