An Analytical Survey on the Solutions of the Generalized Double-Order φ -Integrodifferential Equation-Reference-Cited by-同舟云学术

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

Published:2021-02-12 Issue: Volume:2021 Page:1-14
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Rezapour Sh.¹²^ORCID,Ntouyas S. K.³⁴^ORCID,Iqbal M. Q.⁵,Hussain A.⁵,Etemad S.¹^ORCID,Tariboon J.⁶^ORCID

Affiliation:

1. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

3. Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece

4. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

5. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

6. Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

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.

Funder

King Mongkut's University of Technology North Bangkok

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6667757.pdf

Reference45 articles.

1. Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data

2. On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

3. Existence and Stability Analysis for Fractional Differential Equations with Mixed Nonlocal Conditions