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Stochastic Stability Analysis for Neutral Systems with Hadamard Fractional Derivatives | Synapse

April 7, 2026Open Access

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Stochastic Stability Analysis for Neutral Systems with Hadamard Fractional Derivatives

SASahar Mohammad A. AbusalimJouf University AMAbdellatif Ben MakhloufUniversity of Sfax RFRaouf FakhfakhJouf University

Puntos clave

The aim is to analyze stability for Hadamard Neutral fractional stochastic differential equations under Hyers-Ulam criteria.
Investigated stability using a fixed-point theorem
Applied principles of stochastic integration
Examined two illustrative cases to demonstrate theoretical results
Established conditions for stability under stochastic influences
Demonstrated the applicability of results through specific examples

Resumen

This work investigates stability under Hyers–Ulam criteria for a class of Hadamard Neutral fractional stochastic differential equations (HNFSDE). The analysis applies a fixed-point theorem (FPT) combined with principles of stochastic integration. To illustrate the applicability of the derived theoretical results, two demonstrative cases are examined.

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Cite This Study

Abusalim et al. (Sun,) studied this question.

synapsesocial.com/papers/69d49fa9b33cc4c35a2281aa https://doi.org/https://doi.org/10.3390/axioms15040263