Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions

被引：21

作者：

Zhang, Lihong ^{[1
]}

Ahmad, Bashir ^{[2
]}

Wang, Guotao ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷

关键词：

Extremal solutions; Monotone sequence; Fractional differential equations; Nonlinear integral boundary conditions; Iterative algorithm; POSITIVE SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE;

D O I：

10.1016/j.amc.2015.06.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence of extremal solutions for nonlinear fractional differential equations with nonlinear integral boundary conditions and explores an explicit algorithm which converges to the extremal solutions of the problem at hand. An example is discussed for the illustration of the main work. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：388 / 392

页数：5

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