Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions

被引：19

作者：

Aljoudi, Shorog ^{[1
]}

Ahmad, Bashir ^{[2
]}

Alsaedi, Ahmed ^{[2
]}

机构：

[1] Taif Univ, Dept Math & Stat, POB 888, At Taif 21974, Saudi Arabia

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2020年 / 4卷 / 02期

关键词：

Caputo-Hadamard fractional derivative; coupled system; Hadamard fractional integral; boundary conditions; existence;

D O I：

10.3390/fractalfract4020013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a coupled system of Caputo-Hadamard type sequential fractional differential equations supplemented with nonlocal boundary conditions involving Hadamard fractional integrals. The sufficient criteria ensuring the existence and uniqueness of solutions for the given problem are obtained. We make use of the Leray-Schauder alternative and contraction mapping principle to derive the desired results. Illustrative examples for the main results are also presented.

引用

页码：1 / 15

页数：15

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