This paper proposes an accurate and computationally efficient technique for solving fractional delay stochastic differential equations based on the standard Wiener process. The discretization scheme employs a combined algorithm that integrates B-spline and Lagrange interpolation functions, providing enhanced numerical accuracy. We establish comprehensive error and convergence analyses for the suggested scheme, demonstrating its theoretical robustness. The practical application of the combined numerical simulation is presented through a fractional delay stochastic HIV infection model, where we analyze various scenarios involving intracellular delay and viral replication rates. The study investigates the effects of both stochastic noise and time delay on the model dynamics, complemented by a thorough examination from the perspective of statistical indicators. Our results demonstrate the superior performance of the proposed method in terms of accuracy, convergence order, and computational efficiency, establishing its applicability for modeling complex biological systems with memory effects and random perturbations.
Khadem, M. , Parsa Moghaddam, B. , Yaghoobnia, A. and Askaripour Lahiji, M. (2026). Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2026.70853.3543
MLA
Khadem, M. , , Parsa Moghaddam, B. , , Yaghoobnia, A. , and Askaripour Lahiji, M. . "Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay", Computational Methods for Differential Equations, , , 2026, -. doi: 10.22034/cmde.2026.70853.3543
HARVARD
Khadem, M., Parsa Moghaddam, B., Yaghoobnia, A., Askaripour Lahiji, M. (2026). 'Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2026.70853.3543
CHICAGO
M. Khadem , B. Parsa Moghaddam , A. Yaghoobnia and M. Askaripour Lahiji, "Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay," Computational Methods for Differential Equations, (2026): -, doi: 10.22034/cmde.2026.70853.3543
VANCOUVER
Khadem, M., Parsa Moghaddam, B., Yaghoobnia, A., Askaripour Lahiji, M. Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay. Computational Methods for Differential Equations, 2026; (): -. doi: 10.22034/cmde.2026.70853.3543
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