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Sufficient conditions for the existence of mild solutions and criteria for approximate controllability can be established for higher-order Hilfer fractional neutral stochastic systems with non-instantaneous impulses, fractional Brownian motion, and Poisson jumps. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The research aims to explore the existence of mild solutions and approximate controllability in higher-order Hilfer fractional neutral stochastic systems driven by various factors.

May 20, 2026Fractal and FractionalOpen Access

Approximate Controllability of Higher-Order Hilfer Fractional Neutral Stochastic Systems Driven by Fractional Brownian Motion, Poisson Jumps, and Non-Instantaneous Impulses

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The research aims to explore the existence of mild solutions and approximate controllability in higher-order Hilfer fractional neutral stochastic systems driven by various factors.
Analyzed stochastic differential equations in Hilbert spaces with non-instantaneous impulses.
Utilized fractional calculus, stochastic analysis, and operator theory techniques.
Applied Sadovskii’s fixed point theorem and constructed suitable solution operator families.
Established sufficient conditions for mild solutions in the considered stochastic systems.
Derived criteria for ensuring approximate controllability of fractional neutral dynamics.
Presented an illustrative example showcasing the application of the analytical results.

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Implication

Randomized trial investigates the approximate controllability in stochastic systems, indicating new analysis techniques for complex modeling.

Cite This Study

Ahmed et al. (2026) studied this question.

synapsesocial.com/papers/6a0d4f92f03e14405aa9ae85 https://doi.org/10.3390/fractalfract10050337

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Implication

Randomized trial investigates the approximate controllability in stochastic systems, indicating new analysis techniques for complex modeling.

Approximate Controllability of Higher-Order Hilfer Fractional Neutral Stochastic Systems Driven by Fractional Brownian Motion, Poisson Jumps, and Non-Instantaneous Impulses

Key Points

Discussion

Implication

Cite This Study

Approximate Controllability of Higher-Order Hilfer Fractional Neutral Stochastic Systems Driven by Fractional Brownian Motion, Poisson Jumps, and Non-Instantaneous Impulses

Key Points

Discussion

Implication

Cite This Study

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