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April 7, 2026Open Access

Stochastic Stability Analysis for Neutral Systems with Hadamard Fractional Derivatives

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

Key Points

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

Abstract

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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