On a new class of impulsive fractional evolution equations

Advances in Difference Equations

Bowen Lu¹  Xi Fu¹  Xiaoyou Liu² 

[1] Department of Mathematics, Shaoxing University, Shaoxing, P.R. China;School of Mathematics and Physics, University of South China, Hengyang, P.R. China

关键词: fractional evolution equations;    impulses;    PC-mild solutions;    Cauchy problems;    nonlocal problems;    34K30;    35R12;    26A33;   

DOI  :  10.1186/s13662-015-0561-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of PC-mild solutions for Cauchy and nonlocal problems of impulsive fractional evolution equations for which the impulses are not instantaneous. By using the theory of operator semigroups, probability density functions, and some suitable fixed point theorems, we establish some existence results for these types of problems.

【 授权许可】

CC BY