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

被引：1

作者：

Boulares, Hamid ^{[1
]}

Moumen, Abdelkader ^{[2
]}

Fernane, Khaireddine ^{[1
]}

Alzabut, Jehad ^{[3
,4
]}

Saber, Hicham ^{[2
]}

Alraqad, Tariq ^{[2
]}

Benaissa, Mhamed ^{[5
]}

机构：

[1] Univ 8 May 1945 Guelma, Fac MISM, Dept Math, Lab Anal & Control Differential Equat ACED, POB 401, Guelma 24000, Algeria

[2] Univ Hail, Fac Sci, Dept Math, Hail 55425, Saudi Arabia

[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[4] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkiye

[5] Univ Hail, Coll Engn, Chem Engn Dept, Hail 81441, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 06期

关键词：

psi-Caputo derivative; psi-Riemann-Liouville fractional integral; monotone sequences; upper and lower solutions; Arzela-Ascoli theorem; COUPLED SYSTEM; DIFFERENTIAL-EQUATIONS; ORDER; EXISTENCE; UNIQUENESS; OPERATOR; SCHEME;

D O I：

10.3390/math11061465

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate a new class of nonlinear fractional integrodifferential systems that includes the ?-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.

引用

页数：10

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