Two-Point Boundary Value Problems for Fractional Differential Equations at Resonance

被引：0

作者：

Hu, Zhigang ^{[1
]}

Liu, Wenbin ^{[1
]}

Chen, Taiyong ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221008, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2013年 / 36卷 / 03期

关键词：

Fractional differential equations; boundary value problem; coincidence degree theory; resonance; POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using the coincidence degree theory, we consider the following two-point boundary value problem for fractional differential equation {D(0+)(alpha)x(t) = f(t,x(t),x'(t)), t is an element of [0, 1], x(0) = 0, x'(0) = x'(1), where D-0+(alpha) denotes the Caputo fractional differential operator of order alpha, 1 < alpha <= 2. A new result on the existence of solutions for above fractional boundary value problem is obtained.

引用

页码：747 / 755

页数：9

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