Ulam-Hyers Stability for a Class of Hilfer-Type Fractional Stochastic Differential Equations

被引：0
|
作者：
Song, Meiling [1 ]
Luo, Zhiguo [2 ]
机构：
[1] Guangxi Coll Presch Educ, Nanning 530000, Peoples R China
[2] Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷
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中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, we study a class of Hilfer-type fractional stochastic differential equations (HFSDEs). By Laplace transform and its inverse, we obtain a mild solution to HFSDEs. Furthermore, we research the existence and uniqueness of solutions to the addressed equations. Subsequently, we explore the Ulam-Hyers (U-H) stability of the considered system by the Picard iteration. Finally, we verify the correctness of the theoretical results with an example.
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页数：16
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