S-asymptotically T -periodic solutions for delay fractional differential equations with almost sectorial operator

Advances in Difference Equations

Huiwen Wang¹  Fang Li¹ 

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

关键词: fractional differential equation;    Caputo derivative;    almost sectorial operator;    S-asymptotically T-periodic;    finite delay;    34A08;    34A12;    34K25;    34K37;   

DOI  :  10.1186/s13662-016-1043-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We address the existence and uniqueness of S-asymptotically T-periodic solution of delay fractional differential equations with almost sectorial operator in infinite dimensional Banach spaces. Under the weak assumptions, we obtain the existence and uniqueness result. An example is presented.

【 授权许可】

CC BY