Sequential Riemann-Liouville and Hadamard-Caputo Fractional Differential Systems with Nonlocal Coupled Fractional Integral Boundary Conditions

被引：15

作者：

Kiataramkul, Chanakarn ^{[1
]}

Yukunthorn, Weera ^{[2
]}

Ntouyas, Sotiris K. ^{[3
,4
]}

Tariboon, Jessada ^{[1
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Bangkok 10800, Thailand

[2] Kanchanaburi Rajabhat Univ, Fac Sci & Technol, Kanchanaburi 71000, Thailand

[3] Univ Ioannina, Dept Math, Ioannina 45110, Greece

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

来源：

AXIOMS | 2021年 / 10卷 / 03期

关键词：

coupled systems; Riemann-Liouville fractional derivative; Hadamard-Caputo fractional derivative; nonlocal boundary conditions; existence; fixed point; EQUATIONS;

D O I：

10.3390/axioms10030174

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we initiate the study of existence of solutions for a fractional differential system which contains mixed Riemann-Liouville and Hadamard-Caputo fractional derivatives, complemented with nonlocal coupled fractional integral boundary conditions. We derive necessary conditions for the existence and uniqueness of solutions of the considered system, by using standard fixed point theorems, such as Banach contraction mapping principle and Leray-Schauder alternative. Numerical examples illustrating the obtained results are also presented.

引用

页数：15

共 50 条

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