Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation

被引：28

作者：

Rashid, M. H. M. ^{[1
]}

Al-Omari, A. ^{[1
]}

机构：

[1] Mutah Univ, Dept Math & Stat, Fac Sci, Alkarak, Jordan

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 09期

关键词：

Mild solution; Compact semigroup; Fractional integro-differential equations; Fractional calculus; Impulsive condition;

D O I：

10.1016/j.cnsns.2010.12.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the local and global existence of mild solutions for impulsive fractional semilinear integro-differential equations in an arbitrary Banach space associated with operators generating compact semigroup on the Banach space. Also, we review some applications of fractional differential equations. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：3493 / 3503

页数：11

共 22 条

[1]

Agarwal RP, 2008, MEM DIFFER EQU MATH, V44, P1

[2] A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions [J].

Agarwal, Ravi P. ;

Benchohra, Mouffak ;

Hamani, Samira .

ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) :973-1033

[3]

[Anonymous], 2006, Contemporary Mathematics and its Applications

[4]

[Anonymous], 1993, INTRO FRACTIONAL CA

[5]

Bahuguna D., 1998, Appl. Math. Stoch. Anal, V11, P507, DOI [10.1155/S1048953398000410, DOI 10.1155/S1048953398000410]

[6] On the solution set for a class of sequential fractional differential equations [J].

Baleanu, Dumitru ;

Mustafa, Octavian G. ;

Agarwal, Ravi P. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (38)

[7] An existence result for a superlinear fractional differential equation [J].

Baleanu, Dumitru ;

Mustafa, Octavian G. ;

Agarwal, Ravi P. .

APPLIED MATHEMATICS LETTERS, 2010, 23 (09) :1129-1132

[8] Fractional differential equations and the Schrodinger equation [J].

Ben Adda, F ;

Cresson, J .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 161 (01) :323-345

[9]

Benchohra M, 2009, ELECTRON J DIFFER EQ

[10]

Craiem DO, 2008, LAT AM APPL RES, V38, P141

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