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September 5, 2026Asian Journal of Control

Trajectory Controllability and Ulam–Hyer's Stability for Higher‐Order Coupled Hilfer Fractional Neutral Stochastic Integro‐Differential Equations via Measure of Non‐Compactness

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Authors

DCDimplekumar ChalishajarDKDhanalakshmi KasinathanQZQuanxin Zhu

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Overview

Mathematical analysis demonstrates trajectory controllability and stability in coupled fractional stochastic systems, indicating robust criteria for complex infinite-dimensional dynamical models.

Key Points

  • To establish theoretical conditions for the existence, uniqueness, trajectory controllability, and Ulam–Hyers stability of coupled higher-order Hilfer fractional neutral stochastic integro-differential systems driven by fractional Brownian motion.
  • Formulated coupled higher-order systems with abstract fractional initial conditions in infinite-dimensional spaces.
  • Applied semigroup theory, the Hausdorff measure of noncompactness, and the Mönch fixed point theorem to establish solution existence and uniqueness.
  • Used Gronwall's inequality to establish trajectory controllability and validated findings via two- and three-dimensional numerical simulations.
  • Derived analytical sufficient conditions guaranteeing the existence and uniqueness of mild solutions for coupled fractional stochastic systems.
  • Established analytical criteria ensuring trajectory controllability and Ulam–Hyers stability under fractional noise.
  • Demonstrated the validity and practical applicability of the theoretical framework through two- and three-dimensional numerical simulations.

Cite This Study

Chalishajar et al. (2026) studied this question.

synapsesocial.com/papers/6a9bd3f16b95aff0620eb225https://doi.org/10.1002/asjc.70228
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