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Latha Maheswari, M, Muthusamy, Karthik. (1405). Exactness of the solution to the stochastic fractional impulsive differential equations. سامانه مدیریت نشریات علمی, 14(3), 1180-1192. doi: 10.22034/cmde.2025.61363.2639
M Latha Maheswari; Karthik Muthusamy. "Exactness of the solution to the stochastic fractional impulsive differential equations". سامانه مدیریت نشریات علمی, 14, 3, 1405, 1180-1192. doi: 10.22034/cmde.2025.61363.2639
Latha Maheswari, M, Muthusamy, Karthik. (1405). 'Exactness of the solution to the stochastic fractional impulsive differential equations', سامانه مدیریت نشریات علمی, 14(3), pp. 1180-1192. doi: 10.22034/cmde.2025.61363.2639
Latha Maheswari, M, Muthusamy, Karthik. Exactness of the solution to the stochastic fractional impulsive differential equations. سامانه مدیریت نشریات علمی, 1405; 14(3): 1180-1192. doi: 10.22034/cmde.2025.61363.2639

Exactness of the solution to the stochastic fractional impulsive differential equations

Computational Methods for Differential Equations
مقاله 12، دوره 14، شماره 3، مهر 2026، صفحه 1180-1192    اصل مقاله (507.08 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.61363.2639
نویسندگان
M Latha Maheswari* ؛ Karthik Muthusamy
Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 014, India.
چکیده
This paper investigates the averaging principle for the solutions to stochastic fractional impulsive differential equations (SFIDEs) with nonlocal conditions. The main focus lies in deriving sufficient conditions for the convergence of the averaged SFIDEs. According to certain proposals, solutions to SFIDEs can be approximated by averaged stochastic systems using the mean square. Furthermore, two illustrative examples are provided to demonstrate the effectiveness of the proposed method in approximating the solutions to our model. The numerical simulations highlight the applicability and accuracy of the proposed approach in practical scenarios. This work contributes to the understanding and analysis of SFIDEs with complex conditions, paving the way for further research in the field of finance and industry.
کلیدواژه‌ها
Fractional derivative؛ Impulse؛ Stochastic differential equation؛ Brownian motion؛ Averaging method
مراجع
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