Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay

Advances in Difference Equations

Fang Li¹ 

[1] School of Mathematics, Yunnan Normal University, Kunming, P.R. China

关键词: fractional differential equations;    mild solution;    infinite delay;    measure of noncompactness;    fixed point theorem;   

DOI  :  10.1186/1687-1847-2013-327

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Of concern is the existence of mild solutions to delay fractional differential equations with almost sectorial operators. Combining the techniques of operator semigroup, noncompact measures and fixed point theory, we obtain a new existence theorem without the assumptions that the nonlinearity f satisfies a Lipschitz-type condition, and the resolvent operator associated with A is compact. An example is presented. MSC:34A08, 34K30, 47D06, 47H10.

【 授权许可】

CC BY