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Approximate controllability results for Hilfer fractional neutral stochastic differential equations with finite delay and non‐dense domain

In this work, we analyze a class of Hilfer fractional neutral stochastic differential equations with finite delay in a non‐dense domain. We establish existence and uniqueness results using analytical tools… Click to show full abstract

In this work, we analyze a class of Hilfer fractional neutral stochastic differential equations with finite delay in a non‐dense domain. We establish existence and uniqueness results using analytical tools from fractional calculus, semigroup theory, stochastic analysis, and fixed‐point techniques. A set of assumptions is introduced to guarantee the existence and uniqueness of solutions. Furthermore, a set of hypotheses is provided to examine the approximate controllability of the system. An illustrative example is provided to highlight the theoretical developments.

Keywords: differential equations; fractional neutral; hilfer fractional; stochastic differential; equations finite; neutral stochastic

Journal Title: Asian Journal of Control
Year Published: 2025

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