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D. Kasinathan et.al. / IJOCTA, Vol.15, No.1, pp.103-122 (2025)

used to simulate the obtained result in the future [6] Kumar, V., Malik, M., & Debbouche, A. (2021).
with the real-life applications. Stability and controllability analysis of frac-
tional damped differential system with non-
Acknowledgments instantaneous impulses. Applied Mathematics and
Computation, 391, 125633. https://doi.org/10
None. .1016/j.amc.2020.125633
[7] Tun¸c, C., Tun¸c, O., Wang, Y., & Yao, J.C. (2021).
Funding Qualitative analyses of differential systems with
time-varying delays via Lyapunov-Krasovski˘ı ap-
None.
proach. Mathematics, 9(11), 1196. https://doi.
org/10.3390/math9111196
Conflict of interest
[8] Tun¸c, O. (2021). On the behaviors of solutions
The authors declare that they have no conflict of of systems of non-linear differential equations
with multiple constant delays. Revista de la Real
interest regarding the publication of this article.
Academia de Ciencias Exactas, Fisicas y Natu-
Author contributions rales. Serie A. Matematicas, 115(4), 164. https:
//doi.org/10.1007/s13398-021-01104-5
Conceptualization: Dhanalakshmi Kasinathan, [9] Da Prato, G., & Zabczyk, J. (1992). Stochastic
Dimplekumar Chalishajar equations in infinite dimensions. Cambridge Uni-
Formal analysis: Ramkumar Kasinathan, versity Press, Cambridge. https://doi.org/10
Ravikumar Kasinathan .1017/CBO9780511666223
[10] Da Prato, G., & Zabczyk, J. (2002). Second-order
Methodology: Dhanalakshmi Kasinathan, Dim-
partial differential equations in Hilbert spaces.
plekumar Chalishajar
Cambridge University Press, Cambridge. https:
Writing – original draft: Dhanalakshmi Kasi-
//doi.org/10.1017/CBO9780511543210
nathan
[11] Gikhman, L. (2007). The theory of stochastic
Writing – review & editing: Ramkumar Kasi- processes III. Springer-Verlag, Berlin Heidelberg,
nathan, Ravikumar Kasinathan, Dimplekumar Switzerland. https://doi.org/10.1007/978-3
Chalishajar -540-49941-1
[12] Mao, X. (1997). Stochastic differential equations
Availability of data and applications, Horwood, Chichester.
[13] Mishura, Y. (2008). Stochastic calculus for frac-
Not applicable.
tional Brownian motion and related processes.
Lecture notes in mathematics-1929, Springer,
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