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
收藏
页码：457 / 466
页数：10
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