EXISTENCE OF SOLUTIONS FOR A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED NONLOCAL BOUNDARY CONDITIONS

被引：47

作者：

Ahmad, Bashir ^{[1
]}

Luca, Rodica ^{[2
]}

机构：

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

[2] Gh Asachi Tech Univ, Dept Math, 11 Blvd,Carol I, Iasi 700506, Romania

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2018年 / 21卷 / 02期

关键词：

Caputo fractional differential equations; coupled integral boundary conditions; fixed point theorems; POSITIVE SOLUTIONS;

D O I：

10.1515/fca-2018-0024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of solutions for a system of nonlinear Caputo fractional differential equations with coupled boundary conditions involving Riemann-Liouville fractional integrals, by using the Schauder fixed point theorem and the nonlinear alternative of Leray-Schauder type. Two examples are given to support our main results.

引用

页码：423 / 441

页数：19

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