EXISTENCE AND CONTROLLABILITY FOR IMPULSIVE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS WITH STATE-DEPENDENT DELAY

G. Arthi; R. Sivasangari; Yong-Ki Ma

doi:10.11948/20210409

2023 Volume 13 Issue 1

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G. Arthi, R. Sivasangari, Yong-Ki Ma. EXISTENCE AND CONTROLLABILITY FOR IMPULSIVE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS WITH STATE-DEPENDENT DELAY[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 95-115. doi: 10.11948/20210409

Citation:

G. Arthi, R. Sivasangari, Yong-Ki Ma. EXISTENCE AND CONTROLLABILITY FOR IMPULSIVE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS WITH STATE-DEPENDENT DELAY[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 95-115. doi: 10.11948/20210409

EXISTENCE AND CONTROLLABILITY FOR IMPULSIVE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS WITH STATE-DEPENDENT DELAY

1.
Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore-641004, India
2.
Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Republic of Korea

Corresponding authors: Email: arthimath@gmail.com(G. Arthi); Email: ykma@kongju.ac.kr(Y.-K. Ma)
Fund Project: The work of Yong-Ki Ma was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2021R1F1A1048937).

Abstract

Abstract

This paper is concerned with the impulsive fractional stochastic neutral evolution systems with state-dependent delay and nonlocal condition. First, the existence of solutions of considered evolution systems are obtained by applying the Banach contraction theorem. Then, on the basis of existence of solutions, the controllability concept of the system is investigated. The main aim is to derive some conditions that could be applied to analyze the controllability results for the considered evolution systems involving state-dependent delay. Finally, the efficiency of theoretical analysis is verified by an example.
- Existence /
- controllability /
- fractional system /
- impulsive stochastic evolution system /
- state-dependent delay
MSC: 34D20, 34K37

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References

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