Existence and regularity of solutions for evolution equations with Riemann-Liouville fractional derivatives

被引：17
作者：
Fan, Zhenbin [1 ]
机构：
[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2014年 / 25卷 / 03期
关键词：
Riemann-Liouville fractional derivatives; Fractional resolvent; Strong solution; ORDER DIFFERENTIAL-EQUATIONS; OPERATOR;
D O I：
10.1016/j.indag.2014.01.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we derive the existence and uniqueness of mild solutions for inhomogeneous fractional evolution equations in Banach spaces by means of the method of fractional resolvent. Furthermore, we give the necessary and sufficient conditions for the existence of strong solutions. An example of the fractional diffusion equation is also presented to illustrate our theory. (C) 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：516 / 524
页数：9
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