Fractional neutral evolution equations with nonlocal conditions

被引：9

作者：

Ahmed, Hamdy M. ^{[1
]}

机构：

[1] El Shorouk Acad, Higher Inst Engn, Cairo, Egypt

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

fractional calculus; semilinear neutral differential equations; semigroups; nonlocal conditions; mild solutions; Sadovskii fixed-point theorem; PARTIAL-DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1186/1687-1847-2013-117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we deal with the fractional neutral differential equations involving nonlocal initial conditions. The existence of mild solutions are established. The results are obtained by using the fractional power of operators and the Sadovskii's fixed point theorem. An application to a fractional partial differential equation with nonlocal initial condition is also considered.

引用

页数：10

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