EXISTENCE AND UNIQUENESS OF SOLUTIONS TO FRACTIONAL SEMILINEAR MIXED VOLTERRA-FREDHOLM INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

被引：0
|
作者：
Matar, Mohammed M. [1 ]
机构：
[1] Al Azhar Univ, Dept Math, Gaza, Israel
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年
关键词：
Fractional integrodifferential equations; mild solution; nonlocal condition; Banach fixed point;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study the fractional semilinear mixed Volterra-Fredholm integrodifferential equation d(alpha)x(t)/dt(alpha) = Ax(t) + f (t, x(t), integral(t)(0) k(t, s, x(s)) ds, integral(T)(t0) h(t, s, x(s)) ds), where t is an element of [t(0), T], t(0) >= 0, 0 < alpha < 1, and f is a given function. We prove the existence and uniqueness of solutions to this equation, with a nonlocal condition.
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页数：7
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