Feasibility of variable delay fuzzy fractional stochastic differential system with non-instantaneous impulses

Feasibility of variable delay fuzzy fractional stochastic differential system with non-instantaneous impulses

This paper explores the realm of dynamical control systems through fuzzy modelling, where the dynamics are shaped by a fuzzy stochastic process (FSP) propelled by fuzzy Brownian motion (FBM). Specifically, the paper introduces a new fractional stochastic differential equation (FSDE) featuring variab...

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Bibliographic Details
Main Authors: Manjitha Mani Shalini, Banupriya Kandasamy, Maheswari Rangasamy, Prasantha Bharathi Dhandapani, Anwar Zeb, Ilyas Khan, Abdoalrahman S.A. Omer
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:Applied Mathematics in Science and Engineering
Subjects:
Fuzzy set theory
variable delay
fuzzy Ito process
Caputo derivative
Banach contraction principle
non-instantaneous impulses
Online Access:https://www.tandfonline.com/doi/10.1080/27690911.2025.2458612
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Summary:This paper explores the realm of dynamical control systems through fuzzy modelling, where the dynamics are shaped by a fuzzy stochastic process (FSP) propelled by fuzzy Brownian motion (FBM). Specifically, the paper introduces a new fractional stochastic differential equation (FSDE) featuring variable fuzzy delays and non-instantaneous impulses driven by FBM. The study attempts to ascertain whether global and local solutions for the suggested system exist and are unique by applying fuzzy metrics and Banach contraction mapping principle. The efficacy of the analytical findings is demonstrated through a pertinent example.
ISSN:2769-0911

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