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

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