Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions

被引：36

作者：

Nanware, J. A. ^{[1
]}

Dhaigude, D. B. ^{[2
]}

机构：

[1] Shrikrishna Mahavidyalaya, Dept Math, Osmanabad 413606, MS, India

[2] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, Maharashtra, India

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2014年 / 7卷 / 04期

关键词：

Fractional differential equations; existence and uniqueness; lower and upper solutions; integral boundary conditions;

D O I：

10.22436/jnsa.007.04.02

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Wang and Xie [T. Wang, F. Xie, J. Nonlinear Sci. Appl., 1 (2009), 206-212] developed monotone iterative method for Riemann-Liouville fractional differential equations with integral boundary conditions with the strong hypothesis of locally Holder continuity and obtained existence and uniqueness of a solution for the problem. In this paper, we apply the comparison result without locally Holder continuity due to Vasundhara Devi to develop monotone iterative method for the problem and obtain existence and uniqueness of a solution of the problem. (C)2014 All rights reserved.

引用

页码：246 / 254

页数：9

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