Exactness of the solution to the stochastic fractional impulsive differential equations

Latha Maheswari, M; Muthusamy, Karthik

doi:10.22034/cmde.2025.61363.2639

Exactness of the solution to the stochastic fractional impulsive differential equations

Document Type : Research Paper

Authors

Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 014, India.

10.22034/cmde.2025.61363.2639

Abstract

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.

Keywords

Main Subjects

Fractional ordinary differential equations

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