Attractivity for Hilfer fractional stochastic evolution equations

Advances in Difference Equations

article

Yang, Min¹  Alsaedi, Ahmed²  Ahmad, Bashir²  Zhou, Yong² 

[1] School of Mathematics, Taiyuan University of Technology;Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University;Faculty of Mathematics and Computational Science, Xiangtan University

关键词: Stochastic evolution equations;    Hilfer fractional derivative;    Attractivity;   

DOI  :  10.1186/s13662-020-02582-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This article is devoted to the study of the attractivity of solutions to a class of stochastic evolution equations involving Hilfer fractional derivative. By employing the semigroup theory, fractional calculus and the fixed point technique, we establish new alternative criteria to ensure the existence of globally attractive solutions for the Cauchy problem when the associated semigroup is compact.

【 授权许可】

CC BY