Existence of solutions of two-point boundary value problems for fractional p-Laplace differential equations at resonance

被引：36

作者：

Tang X. ^{[1
]}

Yan C. ^{[1
]}

Liu Q. ^{[2
]}

机构：

[1] College of Mathematics and Physics, Jinggangshan University

[2] College of Electronics and Information Engineering, Jinggangshan University

来源：

Journal of Applied Mathematics and Computing | 2013年 / 41卷 / 1-2期

关键词：

Caputo fractional derivative; Coincidence degree theory; p-Laplace differential equation; Resonance; Two-point boundary value problem;

D O I：

10.1007/s12190-012-0598-0

中图分类号：

学科分类号：

摘要：

In this paper, we consider the following two-point boundary value problem for fractional p-Laplace differential equation [Equation not available: see fulltext.] where Dα+0, Dβ 0+ denote the Caputo fractional derivatives, 0<α, β≤1, 1<α+β≤2. By using the coincidence degree theory, a new result on the existence of solutions for above fractional boundary value problem 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. © 2012 Korean Society for Computational and Applied Mathematics.

引用

页码：119 / 131

页数：12

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