Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions

被引：32

作者：

Karthikeyan, K. ^{[1
]}

Trujillo, J. J. ^{[2
]}

机构：

[1] KSR Coll Technol, Dept Math, Tiruchengode 637215, India

[2] Univ La Laguna, Dept Anal Matemat, Tenerife 38271, Spain

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 11期

关键词：

Boundary value problems; Fractional differential equations; Generalized singular Gronwall inequality; Existence; Uniqueness; VARYING GENERATING OPERATORS; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.cnsns.2011.11.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study existence and uniqueness of fractional integrodifferential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain an important a priori bounds. Existence and uniqueness results of solutions are established by virtue of fractional calculus and fixed point method under some weak conditions. An example is given to illustrate the results. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：4037 / 4043

页数：7

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