On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations

被引：71

作者：

Agarwal, Ravi P. ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Seba, Djamila ^{[3
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria

[3] Univ Boumerdes, Dept Math, Boumerdes 35000, Algeria

来源：

RESULTS IN MATHEMATICS | 2009年 / 55卷 / 3-4期

关键词：

Boundary value problem; Caputo fractional derivative; measure of noncompactness; fixed-point; Banach space;

D O I：

10.1007/s00025-009-0434-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of solutions for a boundary value problem of fractional differential equations. The technique relies on the concept of measures of noncompactness and Monch's fixed point theorem.

引用

页码：221 / 230

页数：10

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