Existence of solutions of four-point boundary value problems for fractional differential equations at resonance

被引：15

作者：

Tang X. ^{[1
]}

机构：

[1] College of Mathematics and Physics, Jinggangshan University, Ji’an, 343009, Jiangxi

来源：

Journal of Applied Mathematics and Computing | 2016年 / 51卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Caputo fractional derivative; Coincidence degree theory; Four-point boundary value problem; Fractional differential equation; Resonance;

D O I：

10.1007/s12190-015-0896-4

中图分类号：

O172 [微积分];

学科分类号：

摘要：

In this paper, we consider the following four-point boundary value problem (BVP) for fractional differential equation (Formula presented), where (Formula presented) denotes the Caputo fractional derivative, 1 < α ≤ 2. By using the coincidence degree theory, a new result on the existence of solutions for above fractional BVP is obtained. These results extend the corresponding ones of ordinary differential equations of integer order. Finally, an example is inserted to illustrate the validity and practicability of our main results. © Korean Society for Computational and Applied Mathematics 2015.

引用

页码：145 / 160

页数：15

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