FUNCTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER AND INFINITE DELAY

被引：0

作者：

Belmekki, Mohammed ^{[1
]}

Benchohra, Mouffak ^{[1
]}

Gorniewicz, Lech ^{[2
]}

机构：

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

[2] Nicholas Copernicus Univ, Schauder Ctr Nonlinear Studies, PL-87100 Torun, Poland

来源：

FIXED POINT THEORY | 2008年 / 9卷 / 02期

关键词：

semilinear functional differential equation; fractional derivative; fractional integral; fixed point; semigroups; mild solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional and neutral functional differential equations with fractional order and infinite delay. Our approach is based on a nonlinear alternative of Leray-Schauder type.

引用

页码：423 / 439

页数：17

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