SOLVABILITY AND OPTIMAL CONTROLS OF FRACTIONAL IMPULSIVE STOCHASTIC EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS

Yonghong Ding; Jing Niu

doi:10.11948/20230238

2024 Volume 14 Issue 5

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Yonghong Ding, Jing Niu. SOLVABILITY AND OPTIMAL CONTROLS OF FRACTIONAL IMPULSIVE STOCHASTIC EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2622-2642. doi: 10.11948/20230238

Citation:

Yonghong Ding, Jing Niu. SOLVABILITY AND OPTIMAL CONTROLS OF FRACTIONAL IMPULSIVE STOCHASTIC EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2622-2642. doi: 10.11948/20230238

SOLVABILITY AND OPTIMAL CONTROLS OF FRACTIONAL IMPULSIVE STOCHASTIC EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS

Yonghong Ding^1, ,,
Jing Niu^2,

1.
Department of Mathematics, Tianshui Normal University, Tianshui, Gansu 741000, China
2.
Department of Geology, Gansu Industry Polytechnic College, Tianshui, Gansu 741000, China

Author Bio: Email: niujing2023@163.com(J. Niu)
Corresponding author: Email: dyh198510@126.com(Y. Ding)
Fund Project: The authors were supported by National Natural Science Foundation of China (12261078), Natural Science Foundation of Gansu Province (21JR11RE031, 22JR11RE193) and Innovation Team of Tianshui Normal University (TDJ2022-03)

Abstract

Abstract

This paper deals with the solvability and optimal controls of a class of impulsive fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space. Firstly, the existence and uniqueness of mild solutions for the considered system are investigated. Then, we derive the existence conditions of optimal pairs to the control systems. In the end, an example is presented to illustrate the effectiveness of our abstract results.
- Nonlocal problem /
- impulsive /
- optimal control /
- stochastic evolution equations
MSC: 49J15, 60H15, 47J35

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References

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