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April 7, 2026Axioms3 citationsOpen Access

Stochastic Stability Analysis for Neutral Systems with Hadamard Fractional Derivatives

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SASahar Mohammad A. AbusalimAMAbdellatif Ben MakhloufRFRaouf Fakhfakh

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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Cite This Study

Abusalim et al. (2026) studied this question.

synapsesocial.com/papers/69d49fa9b33cc4c35a2281aahttps://doi.org/10.3390/axioms15040263
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