An Analytical Survey on the Solutions of the Generalized Double-Order φ-Integrodifferential Equation. (12th February 2021)

• Record Type: Journal Article
• Authors: Rezapour, Sh.; Ntouyas, S. K.; Iqbal, M. Q.; Hussain, A.; Etemad, S.; Tariboon, J.
• Other Names: Nisar Kottakkaran Sooppy Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-02-12
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6667757
• Languages: English
• ISSNs: 2314-8896

Abstract

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.