Hilfer fractional stochastic evolution equations on the positive semi-axis

被引:0
|
作者
Yang, Min [1 ]
Huan, Qingqing [1 ]
Cui, Haifang [1 ]
Wang, Qiru [2 ]
机构
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China
[2] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Peoples R China
关键词
Hilfer fractional derivative; Stochastic evolution equations; Mild solutions; Positive semi-axis; INITIAL-VALUE PROBLEMS; DIFFERENTIAL-EQUATIONS; APPROXIMATE CONTROLLABILITY; EXISTENCE;
D O I
10.1016/j.aej.2024.07.111
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The focus of this article lies in the existence of global mild solutions for Hilfer fractional stochastic evolution equations (HFSEEs) on the positive semi-axis (0, +infinity) with a derivative order greater than 3/2 and less than 2. A significant challenge, which also presents novelty here, is to extend the generalized Ascoli-Arzela (A-A) theorem established in Zhou and He (2022) to the stochastic case under the associated sine family {S(t)}(t >= 0) not necessary compact. Then, by relying on our newly established generalized A-A theorem, standard stochastic analysis theory and Schauder's fixed point principle, we derive the existence of global mild solutions for the addressed system. Finally, we demonstrate the feasibility of our obtained results through an illustrative example.
引用
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页码:386 / 395
页数:10
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