EXISTENCE OF SOLUTIONS FOR A NONLINEAR FRACTIONAL ORDER DIFFERENTIAL EQUATION

被引：1

作者：

Kaufmann, Eric R. ^{[1
]}

Yao, Kouadio David ^{[1
]}

机构：

[1] Univ Arkansas, Dept Math & Stat, Little Rock, AR 72204 USA

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2009年 / 71期

关键词：

Fractional derivative; nonlinear dynamic equation; BOUNDARY-VALUE-PROBLEMS; 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：

Let D-alpha denote the Riemann-Liouville fractional differential operator of order alpha. Let 1 < alpha < 2 and 0 < beta < alpha. Define the operator L by L = D-alpha - aD(beta) where alpha is an element of R. We give sufficient conditions for the existence of solutions of the nonlinear fractional boundary value problem Lu(t) + f(t, u(t)) = 0, 0 < t < 1, u(0) = 0, u(1) = 0.

引用

页码：1 / 9

页数：9

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