1. M. Zakai, On the optimal filtering of diffusion processes, Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, 11(3), 230–43 (1969).
2. R. Mikulevicius, BL. Rozovskii, Stochastic Navier–Stokes equations for turbulent flows, SIAM Journal on Mathematical Analysis, 35(5), 1250–310 (2004).
3. DA. Dawson, EA. Perkins, Measure-valued processes and renormalization of branching particle systems, Mathematical Surveys and Monographs, 64, 45–106 (1998).
4. L. Roques, D. Allard, S. Soubeyrand, Spatial statistics and stochastic partial differential equations: A mechanistic viewpoint. Spatial Statistics, 50, 100591 (2022).
5. JD. Murray, Mathematical biology: II: spatial models and biomedical applications, Springer, New York, 2003.
6. EJ. Allen, SJ. Novosel, Z. Zhang, Finite element and difference approximation of some linear stochastic partial differential equations, Stochastics: An International Journal of Probability and Stochastic Processes, 64(1-2), 117–42 (1998).
7. M. Namjoo, A. Mohebbian, Approximation of stochastic advection-diffusion equations with finite difference scheme, Journal of Mathematical Modeling, 4(1), 1–8 (2016).
8. M. Namjoo, A. Mohebbian, Analysis of the stability and convergence of a finite difference approximation for stochastic partial differential equations, Computational Methods for Differential Equations, 7(3), 334–58 (2019).
9. D. Baleanu, M. Namjoo, A. Mohebbian, A. Jajarmi, A weighted average finite difference scheme for the numerical solution of stochastic parabolic partial differential equations, CMES-Computer Modeling in Engineering & Sciences, 135(2), (2023).
10. M. Karami, A. Mohebbian, S. Razaghian, M. Namjoo, M. Aminian, Numerical solutions for a class of stochastic patial differential equations, Journal of Mahani Mathematical Research Center, 13(1), (2024).
11. P. E. Kloeden, E. Platen, Numerical solution of stochastic differential equations, Springer Science & Business Media, 2013.
12. M. Bishehniasar, AR. Soheili, Approximation of stochastic advection-diffusion equation using compact finite difference technique, Iranian Journal of Science, 37(3), 327–33 (2013).
13. C. Roth, Difference methods for stochastic partial differential equations, Journal of Applied Mathematics and Mechanics, 82(11-12), 821–30 (2002).
14. M. Dehghan, Weighted finite difference techniques for the one-dimensional advection-diffusion equation, Applied Mathematics and Computation, 147(2), 307–19 (2004).
15. J. Wang, X. Pang, F. Yin, J. Yao, A deep neural network method for solving partial differential equations with complex boundary in groundwater seepage, Journal of Petroleum Science and Engineering, 209, 109880 (2022).
16. G. Prato, L. Tubaro, Stochastic partial differential equations and applications, Springer Berlin Heidelberg, 1987.
17. MW. Yasin, MS. Iqbal, N. Ahmed, A. Akgül, A. Raza, M. Rafiq, MB. Riaz, Numerical scheme and stability analysis of stochastic Fitzhugh–Nagumo model, Results in Physics, 32, 105023 (2022).
18. N. Kaur, K. Goyal, An adaptive wavelet optimized finite difference B-spline polynomial chaos method for random partial differential equations, Applied Mathematics and Computation, 415, 126738 (2022).
19. L. Guo, H. Wu, T. Zhou, Normalizing field flows: Solving forward and inverse stochastic differential equations using physics-informed flow models, Journal of Computational Physics, 461, 111202 (2022).
20. NH. Sweilam, DM. ElSakout, MM. Muttardi, High-resolution schemes for stochastic nonlinear conservation laws, International Journal of Applied and Computational Mathematics, 6, 1–23 (2020).
21. NH. Sweilam, DM. El-Sakout, MM. Muttardi, Compact finite difference method to numerically solving a stochastic fractional advection-diffusion equation, Advances in Difference Equations, 2020, 1–20 (2020).
22. JW. Thomas, Numerical partial differential equations: finite difference methods, Springer Science & Business Media, 2013.
23. Khan MA, Ullah S, Kumar S, A robust study on 2019-nCOV outbreaks through nonsingular derivative, The European Physical Journal Plus, 136, 1-20 (2021).
24. Kumar S, Kumar A, Samet B, Dutta H, A study on fractional host-parasitoid population dynamical model to describe insect species, Numerical Methods for Partial Differential Equations, 37(2), 1673-92 (2021).
25. Kumar S, Chauhan RP, Momani S, Hadid S, Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators. Numerical Methods for Partial Differential Equations, 40(1), e22707 (2024).
26. Ghanbari B, Kumar S, A study on fractional predator-prey–pathogen model with Mittag–Leffler kernel‐based operators, Numerical Methods for Partial Differential Equations, 40(1), e22689 (2024).
27. Kumar S, Kumar R, Momani S, Hadid S, A study on fractional COVID‐19 disease model by using Hermite wavelets, Mathematical Methods in the Applied Sciences, 46(7), 7671- 87 (2023).
28. Veeresha P, Prakasha DG, Kumar S, A fractional model for propagation of classical optical solitons by using nonsingular derivative, Mathematical Methods in the Applied Sciences (2020).