On Solutions of Fractional Integrodifferential Systems Involving Ψ-Caputo Derivative and Ψ-Riemann–Liouville Fractional Integral-Reference-Cited by-同舟云学术

On Solutions of Fractional Integrodifferential Systems Involving Ψ-Caputo Derivative and Ψ-Riemann–Liouville Fractional Integral

Published:2023-03-17 Issue:6 Volume:11 Page:1465
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Boulares Hamid¹,Moumen Abdelkader²^ORCID,Fernane Khaireddine¹,Alzabut Jehad³⁴^ORCID,Saber Hicham²,Alraqad Tariq²,Benaissa Mhamed⁵^ORCID

Affiliation:

1. Laboratory of Analysis and Control of Differential Equations “ACED”, Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria

2. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi Arabia

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

4. Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Türkiye

5. Chemical Engineering Department, College of Engineering, University of Ha’il, Ha’il 81441, Saudi Arabia

Abstract

In this paper, we investigate a new class of nonlinear fractional integrodifferential systems that includes the Ψ-Riemann–Liouville fractional integral term. Using the technique of upper and lower solutions, the solvability of the system is examined. We add two examples to demonstrate and validate the main result. The main results highlight crucial contributions to the general theory of fractional differential equations.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1465/pdf

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