Existence and Uniqueness of Solution for Fractional Differential Equations with Integral Boundary Conditions

被引：0

作者：

Liu, Xiping ^{[1
]}

Jia, Mei ^{[1
]}

Wu, Baofeng ^{[1
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2009年 / 69期

关键词：

Caputo derivative; fractional differential equations; integral boundary conditions; Banach contraction mapping principle; existence and uniqueness; POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the existence and uniqueness results of solutions for fractional differential equations with integral boundary conditions. {(C)D(alpha)x(t) + f(t, x(t), x'(t)) = 0, t is an element of (0, 1), x(0) = integral(1)(0) g(0)(s, x(s))ds, x(1) = integral(1)(0) g(1)(s, x(s))ds, x((k)) (0) = 0, k = 2, 3, ..., [alpha] - 1. By means of the Banach contraction mapping principle, some new results on the existence and uniqueness are obtained. It is interesting to note that the sufficient conditions for the existence and uniqueness of solutions are dependent on the order alpha.

引用

页码：1 / 10

页数：10

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