Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay

被引：35

作者：

Abbas, Said ^{[2
]}

Agarwal, Ravi P. ^{[1
,3
]}

Benchohra, Mouffak ^{[4
]}

机构：

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

[2] Univ Saida, Math Lab, Saida 20000, Algeria

[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

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

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2010年 / 4卷 / 04期

关键词：

Impulsive partial differential equations; Fractional order; Solution; Left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; Variable times; Infinite delay; Fixed point; MOMENTS; SYSTEMS;

D O I：

10.1016/j.nahs.2010.06.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the existence of solutions to impulsive partial functional differential equations with impulses at variable times and infinite delay, involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type. (C) 2010 Elsevier Ltd. All rights reserved.

引用

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页码：818 / 829

页数：12

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