Boundary value problem for a coupled system of nonlinear fractional differential equations
Boundary value problem for a coupled system of nonlinear fractional differential equations
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DOI：
10.1016/j.aml.2008.03.001
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发表时间：
2009-01-01
影响因子：
3.7
通讯作者：
Su, Xinwei
中科院分区：
文献类型：
--
作者：
Su, Xinwei
本文讨论了一类分数阶耦合微分系统的边值问题。微分算子是Riemann-Liouville意义下的，非线性项依赖于未知函数的分数导数。利用Schauder不动点定理，得到了解的存在性结果。我们的分析依赖于将问题归结为等价的Fredholm型积分方程组。(C)2008爱思唯尔有限公司。保留所有权利。
In this work we discuss a boundary value problem for a coupled differential system of fractional order. The differential operator is taken in the Riemann-Liouville sense and the nonlinear term depends on the fractional derivative of an unknown function. By means of Schauder fixed-point theorem, an existence result for the Solution is obtained. Our analysis relies on the reduction of the problem considered to the equivalent system of Fredholm integral equations. (C) 2008 Elsevier Ltd. All rights reserved.