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 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.
Latha Maheswari, M. and Muthusamy, K. (2025). Exactness of solution to the stochastic fractional impulsive differential equations. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.61363.2639
MLA
Latha Maheswari, M. , and Muthusamy, K. . "Exactness of solution to the stochastic fractional impulsive differential equations", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.61363.2639
HARVARD
Latha Maheswari, M., Muthusamy, K. (2025). 'Exactness of solution to the stochastic fractional impulsive differential equations', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.61363.2639
CHICAGO
M. Latha Maheswari and K. Muthusamy, "Exactness of solution to the stochastic fractional impulsive differential equations," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.61363.2639
VANCOUVER
Latha Maheswari, M., Muthusamy, K. Exactness of solution to the stochastic fractional impulsive differential equations. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.61363.2639