Attractivity for Hilfer fractional stochastic evolution equations

Advances in Difference Equations

Bashir Ahmad¹  Ahmed Alsaedi¹  Yong Zhou¹  Min Yang² 

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

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

DOI  :  10.1186/s13662-020-02582-4

来源: DOAJ

【 摘 要 】

Abstract 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】

Unknown