Darboux problem for fractional-order discontinuous hyperbolic partial differential equations in Banach algebras

被引：6

作者：

Abbas, Said ^{[3
]}

Benchohra, Mouffak ^{[4
]}

N'Guerekata, Gaston M. ^{[1
]}

Slimani, Boualem Attou ^{[2
]}

机构：

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

[2] Univ Tlemcen, Fac Sci Ingn, Tilimsen 13000, Algeria

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

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

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2012年 / 57卷 / 2-4期

关键词：

Darboux problem; fractional order; solution; upper solution; lower solution; extremal solutions; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; fixed point; SYSTEMS;

D O I：

10.1080/17476933.2011.555542

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove an existence result for partial hyperbolic differential equations of fractional order in Banach algebras under Lipschitz and Caratheodory conditions. The existence of extremal solutions is also proved under certain monotonicity conditions.

引用

页码：337 / 350

页数：14

共 37 条

[1] Darboux problem for perturbed partial differential equations of fractional order with finite delay [J].