Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition

被引：53

作者：

Chauhan, Archana

Dabas, Jaydev ^{[1
]}

机构：

[1] IIT Roorkee, Dept Appl Sci & Engn, Saharanpur 247001, UP, India

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 04期

关键词：

Fractional differential equation; Solution operator; Mild solution; Impulsive condition; DIFFERENTIAL-EQUATIONS; UNIQUENESS;

D O I：

10.1016/j.cnsns.2013.07.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the local and global existence of mild solution for an impulsive fractional functional integro differential equations with nonlocal condition. We establish a general framework to find the mild solutions for impulsive fractional integro-differential equations, which will provide an effective way to deal with such problems. The results are obtained by using the fixed point technique and solution operator on a complex Banach space. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：821 / 829

页数：9

共 26 条

[1] On fractional integro-differential equations with state-dependent delay
Agarwal, Ravi P.
de Andrade, Bruno
Siracusa, Giovana
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1143 - 1149
[2] [Anonymous], 1993, INTRO FRACTIONAL CA
[3] [Anonymous], ELECT J DIFFER EQU
[4] Almost automorphic mild solutions to fractional differential equations
Araya, Daniela
Lizama, Carlos
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3692 - 3705
[5] Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems
Bahuguna, D
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (7-8) : 1021 - 1028
[6] Bahuguna D., 1998, Appl. Math. Stoch. Anal, V11, P507, DOI [10.1155/S1048953398000410, DOI 10.1155/S1048953398000410]
[7] Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay
Dabas, Jaydev
Chauhan, Archana
Kumar, Mukesh
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
[8] Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay
Dabas, Jaydev
Chauhan, Archana
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (3-4) : 754 - 763
[9] Existence and regularity of solutions to nonlocal retarded differential equations
Dubey, Shruti A.
Bahuguna, Dhirendra
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (07) : 2413 - 2424
[10] On the concept and existence of solution for impulsive fractional differential equations
Feckan, Michal
Zhou, Yong
Wang, JinRong
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (07) : 3050 - 3060

← 1 2 3 →