ON EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION FOR FRACTIONAL SEMILINEAR INTEGRO-DIFFERENTIAL EQUATIONS

被引：3

作者：

Matar, Mohammed ^{[1
]}

机构：

[1] Al Azhar Univ Gaza, Dept Math, Gaza, PA USA

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2011年 / 23卷 / 03期

关键词：

Existence and uniqueness; mild solution; fractional integro-differential equations;

D O I：

10.1216/JIE-2011-23-3-457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the existence and uniqueness of the mild solution for the fractional integro-differential equation d(a)x(t)/dt(a) = Ax(t) + g(t, x(t)) + integral(t)(t0) f(t, s, x(s)) ds, where 0 < a <= 1, g and f are given functions.

引用

页码：457 / 466

页数：10

共 8 条

[1]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[2] 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

[3]

Furati K.M., 2004, Journal of Fractional Calculus, V26, P43

[4] Existence of the mild solution for fractional semilinear initial value problems [J].

Jaradat, Omar K. ;

Al-Omari, Ahmad ;

Momani, Shaher .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) :3153-3159

[5]

Kilbas A. A., 2000, DEMONSTRATIO MATH, V33, P538

[6]

Miller K.S., 1993, INTRO FRACTIONAL INT

[7]

MOMNI S, 2007, SOOCHOW J MATH, V33, P69

[8] Existence of fractional differential equations [J].

Yu, C ;

Gao, GZ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 310 (01) :26-29

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