ON THE EXISTENCE OF MILD SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS IN THE α-NORM

被引：1

作者：

Abbas, Mohamed I. ^{[1
]}

机构：

[1] Univ Alexandria, Fac Sci, Dept Math, Alexandria 21511, Egypt

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2014年 / 51卷 / 02期

关键词：

34A12; 34A40; analytic compact semigroup; Fractional differential equation; nonlocal condition; Primary; 34K05; α-norm;

D O I：

10.1556/SScMath.51.2014.2.1271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the existence of mild solutions for some fractional Cauchy problem with nonlocal conditions in the alpha-norm. The linear part of the equations is assumed to generate an analytic compact bounded semigroup, and the nonlinear part satisfies some Lipschitz conditions with respect to the fractional power norm of the linear part. By using a fixed point theorem of Sadovskii, we establish some existence results which generalize

引用

页码：141 / 154

页数：14

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