Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay

被引：9

作者：

Benchohra, Mouffak ^{[1
,2
]}

Hellal, Mohamed ^{[1
]}

机构：

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

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

ANNALES POLONICI MATHEMATICI | 2014年 / 110卷 / 03期

关键词：

partial functional differential equation; fractional order; solution; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; state-dependent delay; fixed point; Frechet space; DARBOUX PROBLEM; LINEARIZED STABILITY; ORDER;

D O I：

10.4064/ap110-3-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence and uniqueness of solutions of hyperbolic fractional order differential equations with state-dependent delay by using a nonlinear alternative of Leray Schauder type due to Frigon and Granas for contraction maps on Frechet spaces.

引用

页码：259 / 281

页数：23

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