Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order

被引：52

作者：

Abbas, Said ^{[2
]}

Benchohra, Mouffak ^{[1
]}

机构：

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

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

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2010年 / 4卷 / 03期

关键词：

Impulsive hyperbolic differential equation; Fractional order; Upper solution; Lower solution; Left-sided mixed Riemann-Liouville integral; Caputo fractional order derivative; Fixed point;

D O I：

10.1016/j.nahs.2009.10.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we investigate the existence of solutions for a class of initial value problems for impulsive partial hyperbolic differential equations involving the Caputo fractional derivative by using the lower and upper solutions method combined with Schauder's fixed point theorem. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：406 / 413

页数：8

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