BOUNDED SOLUTIONS FOR FRACTIONAL ORDER DIFFERENTIAL EQUATIONS ON THE HALF-LINE

被引：0

作者：

Benchohra, Mouffak ^{[1
]}

Berhoun, Farida ^{[1
]}

N'Guerekata, Gaston ^{[2
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, BP 89, Sidi Bel Abbes 22000, Algeria

[2] Morgan State Univ, Dept Math, Baltimore, MD 21252 USA

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 4卷 / 01期

关键词：

Caputo fractional derivative; fractional integral; fixed point; bounded solutions; diagonalization process;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide in this paper, sufficient conditions for the existence of bounded solutions for a class of initial value problem on the half-line for fractional differential equations involving Caputo fractional derivative with a nonlinear term depending on the derivative, using the Schauder fixed point theorem combined with the diagonalization process.

引用

页码：62 / 71

页数：10

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