Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory

Ramkumar K; K. Ravikumar; Elsayed Elsayed; A. Anguraj

doi:10.32323/ujma.588104

EN

Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory

Abstract

In this manuscript, we investigate the approximate controllability for time-dependent impulsive neutral stochastic partial differential equations with fractional Brownian motion and memory in Hilbert space. By using semigroup theory, stochastic analysis techniques and fixed point approach, we derive a new set of sufficient conditions for the approximate controllability of nonlinear stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate our results.

Keywords

Approximate controllability, Impulsive systems, Fractional Brownian motion

References

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[11] E. Lakhel, Controllability of neutral stochastic functional differential equations driven by fractional Brownian motion with infinite delay, Nonlinear Dyn. Syst. Theory, 17(3) (2017), 291-302.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ramkumar K
India

K. Ravikumar
India

Elsayed Elsayed
0000-0003-0894-8472
Saudi Arabia

A. Anguraj
Saudi Arabia

Publication Date

September 29, 2020

Submission Date

July 7, 2019

Acceptance Date

July 13, 2020

Published in Issue

Year 2020 Volume: 3 Number: 3

DOI

https://doi.org/10.32323/ujma.588104

IZ

https://izlik.org/JA87NG29YJ

APA

K, R., Ravikumar, K., Elsayed, E., & Anguraj, A. (2020). Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory. Universal Journal of Mathematics and Applications, 3(3), 115-120. https://doi.org/10.32323/ujma.588104

AMA

1.K R, Ravikumar K, Elsayed E, Anguraj A. Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory. Univ. J. Math. Appl. 2020;3(3):115-120. doi:10.32323/ujma.588104

Chicago

K, Ramkumar, K. Ravikumar, Elsayed Elsayed, and A. Anguraj. 2020. “Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations With Fractional Brownian Motion and Memory”. Universal Journal of Mathematics and Applications 3 (3): 115-20. https://doi.org/10.32323/ujma.588104.

EndNote

K R, Ravikumar K, Elsayed E, Anguraj A (September 1, 2020) Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory. Universal Journal of Mathematics and Applications 3 3 115–120.

IEEE

[1]R. K, K. Ravikumar, E. Elsayed, and A. Anguraj, “Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory”, Univ. J. Math. Appl., vol. 3, no. 3, pp. 115–120, Sept. 2020, doi: 10.32323/ujma.588104.

ISNAD

K, Ramkumar - Ravikumar, K. - Elsayed, Elsayed - Anguraj, A. “Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations With Fractional Brownian Motion and Memory”. Universal Journal of Mathematics and Applications 3/3 (September 1, 2020): 115-120. https://doi.org/10.32323/ujma.588104.

JAMA

1.K R, Ravikumar K, Elsayed E, Anguraj A. Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory. Univ. J. Math. Appl. 2020;3:115–120.

MLA

K, Ramkumar, et al. “Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations With Fractional Brownian Motion and Memory”. Universal Journal of Mathematics and Applications, vol. 3, no. 3, Sept. 2020, pp. 115-20, doi:10.32323/ujma.588104.

Vancouver

1.Ramkumar K, K. Ravikumar, Elsayed Elsayed, A. Anguraj. Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory. Univ. J. Math. Appl. 2020 Sep. 1;3(3):115-20. doi:10.32323/ujma.588104