EXISTENCE OF MILD SOLUTIONS FOR A NEUTRAL FRACTIONAL EQUATION WITH FRACTIONAL NONLOCAL CONDITIONS

被引：0

作者：

Tatar, Nasser-Eddine ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Cauchy problem; cosine family; fractional derivative; mild solutions; neutral second; order abstract problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of mild solutions in an appropriate space is established for a second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the initial conditions. We introduce some new spaces taking into account the minimum requirements of regularity.

引用

页数：12

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