APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS

He Yang; Yongxiang Li

doi:10.11948/20230006

2023 Volume 13 Issue 5

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Article navigation > Journal of Applied Analysis & Computation > 2023 > 13(5): 2809-2826

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He Yang, Yongxiang Li. APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2809-2826. doi: 10.11948/20230006

Citation:

He Yang, Yongxiang Li. APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2809-2826. doi: 10.11948/20230006

APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS

He Yang^1, ,,
Yongxiang Li^1,

1.
Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, College of Mathematics and Statistics, Northwest Normal University, Lanzhou Gansu 730070, China

Author Bio: Email: liyx@nwnu.edu.cn(Y. Li)
Corresponding author: Email: yanghe@nwnu.edu.cn(H. Yang)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 12061062)

Abstract

Abstract

This paper deals with the existence as well as the approximate controllability of Riemann-Liouville fractional stochastic evolution systems of Sobolev type with nonlocal initial conditions in abstract spaces. When the operator semigroup is noncompact and the nonlocal function is not Lipschitz continuous and not compact, the existence as well as the approximate controllability of the concerned problem are investigated. Finally, an application example is given.
- Fractional stochastic evolution systems /
- Sobolev operator /
- approximate controllability /
- nonlocal function
MSC: 26A33, 60H15, 93B05

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References

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