Existence results for fractional order functional differential equations with infinite delay

被引：429

作者：

Benchohra, A. ^{[2
]}

Henderson, J. ^{[3
]}

Ntouyas, S. K. ^{[1
]}

Ouahab, A. ^{[2
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

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

[3] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 338卷 / 02期

关键词：

functional differential equations; fractional derivative; fractional integral; existence; fixed point;

D O I：

10.1016/j.jmaa.2007.06.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Banach fixed point theorem and the nonlinear alternative of Leray-Schauder type are used to investigate the existence of solutions for fractional order functional and neutral functional differential equations with infinite delay. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1340 / 1350

页数：11

共 24 条

[1]

[Anonymous], INT J MATH MATH SCI

[2]

Corduneanu C., 1980, Nonlinear Analysis Theory, Methods & Applications, V4, P831, DOI 10.1016/0362-546X(80)90001-2

[3] Existence and uniqueness for a nonlinear fractional differential equation [J].

Delbosco, D ;

Rodino, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (02) :609-625

[4] Analysis of fractional differential equations [J].

Diethelm, K ;

Ford, NJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) :229-248

[5] Numerical solution of fractional order differential equations by extrapolation [J].

Diethelm, K ;

Walz, G .

NUMERICAL ALGORITHMS, 1997, 16 (3-4) :231-253

[6]

Diethelm K, 1999, Scientific computing in chemical engineering II, P217, DOI 10.1007/978-3-642-60185-9

[7] DAMPING DESCRIPTION INVOLVING FRACTIONAL OPERATORS [J].

GAUL, L ;

KLEIN, P ;

KEMPLE, S .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1991, 5 (02) :81-88

[8]

GLOCKLE WG, 1995, BIOPHYS J, V68, P46, DOI 10.1016/S0006-3495(95)80157-8

[9]

Granas A., 2003, FIXED POINT THEOR-RO, DOI 10.1007/978-0-387-21593-8

[10]

Hale J. K., 1978, FUNKC EKVACIOJ-SER I, V21, P11

← 1 2 3 →