Nonlinear boundary value problems of fractional differential systems

被引：35

作者：

Liu, Zhenhai ^{[1
]}

Sun, Jihua ^{[1
]}

机构：

[1] Guangxi Univ Nationalities, Sch Math & Comp Sci, Nanning 530006, Guangxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 04期

关键词：

Nonlinear boundary value problem; Fractional differential systems; Monotone iterative technique; Extremal generalized solutions; EQUATIONS; EXISTENCE; ORDER;

D O I：

10.1016/j.camwa.2011.12.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of generalized solutions for fractional differential systems with nonlinear boundary value conditions. We first establish a new comparison theorem. By applying the monotone iterative technique and the method of lower and upper generalized solutions, we obtain sufficient conditions for existence of extremal generalized solutions. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：463 / 475

页数：13

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