Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations

被引：7

作者：

Asaduzzaman, Md ^{[1
]}

Ali, Md Zulfikar ^{[2
]}

机构：

[1] Islamic Univ, Dept Math, Kushtia 7003, Bangladesh

[2] Univ Rajshahi, Dept Math, Rajshahi 6205, Bangladesh

来源：

AIMS MATHEMATICS | 2019年 / 4卷 / 03期

关键词：

coupled system of Riemann-Liouville type fractional differential equations; three-point boundary value condition; positive solution; Schauder's fixed point theorem; UNIQUENESS;

D O I：

10.3934/math.2019.3.880

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence criteria of at least one positive solution to the three-point boundary value problems with coupled system of Riemann-Liouville type nonlinear fractional order differential equations. The analysis of this study is based on the well-known Schauder's fixed point theorem. Some new existence and multiplicity results for coupled system of Riemann-Liouville type nonlinear fractional order differential equation with three-point boundary value conditions are obtained.

引用

页码：880 / 895

页数：16

共 31 条

[1] On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function [J].