This paper investigates the existence, uniqueness, and Hyers–Ulam stability of a new class of higher-order coupled stochastic non-instantaneous impulsive Hilfer fractional switched differential equations with deviated arguments and Poisson jumps in finite-dimensional spaces. The well-posedness of the system is established using the method of integral contractors under suitable regularity assumptions and a weakened Lipschitz-type condition on the nonlinear operators. The proposed framework introduces a unified class of coupled Hilfer fractional stochastic switching systems that incorporates non-instantaneous impulses, switching dynamics, fractional integral initial conditions, and both continuous and jump-type stochastic perturbations. This structure provides a mathematically consistent and physically realistic model for hybrid dynamical systems with memory and random disturbances. The analysis employs techniques from fractional calculus, stochastic analysis, Laplace transforms, and Mittag–Leffler function theory. A numerical example and an application to electromechanical coupling and seeker stabilisation are presented to illustrate the effectiveness and practical relevance of the theoretical results.
Chalishajar et al. (Wed,) studied this question.
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