<p>This work provides a comprehensive analysis of higher-order Caputo fractional neutral stochastic differential control systems that include damping effects. The considered system integrates multiple layers of complexity by incorporating memory effects through Caputo fractional derivatives, stochastic influences modeled via Wiener processes, and also neutral functional dependencies reflecting delay in both state and derivative components. The principal objective is to establish the existence, uniqueness, and controllability of mild solutions under appropriate assumptions on the nonlinear operators, control constraints, and damping kernels. The analysis employs a mild solution for a given system, starting with the standard Laplace transform and the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((\kappa ,\gamma )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>κ</mi> <mo>,</mo> <mi>γ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-regularized family of operators, fractional calculus, and fixed-point theorems to handle the nonlinearities, infinite-dimensional dynamics, and stochastic perturbations. We construct a cost functional that encapsulates the trade-off between performance and control effort, and we derive necessary optimality conditions for the stochastic maximum principle. Finally, a theoretical example is presented to validate the theoretical framework, demonstrating the control laws can be effectively applied to manage stochastic fractional systems with damping.</p>