SOLUTIONS OF TWO-TERM TIME FRACTIONAL ORDER DIFFERENTIAL EQUATIONS WITH NONLOCAL INITIAL CONDITIONS

被引：0
|
作者：
Lizama, Carlos [1 ]
机构：
[1] Univ Santiago Chile, Fac Ciencia, Dept Matemat & Ciencia Comp, Santiago, Chile
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 82期
关键词：
Generalization of semigroups; two-term time fractional derivative; sectorial operators; nonlocal initial conditions; MILD SOLUTIONS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of mild solutions for the two-term fractional order abstract differential equation D(t)(alpha+1)u(t) + mu D(t)(beta)u( ) - Au(t) = D(t)(alpha-1)f (t, u(t)), t is an element of [0, 1], 0 < alpha <= beta <= 1, mu >= 0, with nonlocal initial conditions and where A is a linear operator of sectorial type. To achieve our goal, we use a new mixed method, which combines a generalization of the theory of C-0-semigroups, Hausdorff measure of noncompactness and a fixed point argument.
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页码：1 / 9
页数：9
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