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Variable substitution methods in the solution of stochastic ordinary differential equations and their applications

   | 11 nov. 2023
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Beccari, M., Hutzenthaler, M., Jentzen, A., Kurniawan, R., Lindner, F., & Salimova, D. (2019). Strong and weak divergence of exponential and linear-implicit Euler approximations for stochastic partial differential equations with superlinearly growing nonlinearities. arXiv preprint arXiv:1903.06066. Search in Google Scholar

Bongers, S., & Mooij, J. M. (2018). From random differential equations to structural causal models: The stochastic case. arXiv preprint arXiv:1803.08784. Search in Google Scholar

Jentzen, A., & Pušnik, P. (2018). Exponential moments for numerical approximations of stochastic partial differential equations. Stochastics and Partial Differential Equations: Analysis and Computations, 6(4), 565-617. Search in Google Scholar

Ahmadova, A., & Mahmudov, N. I. (2020). Existence and uniqueness results for a class of fractional stochastic neutral differential equations. Chaos, Solitons & Fractals, 139, 110253. Search in Google Scholar

Rackauckas, C., & Nie, Q. (2017). Differentialequations. jl–a performant and feature-rich ecosystem for solving differential equations in julia. Journal of open research software, 5(1). Search in Google Scholar

Sabir, Z., Wahab, H. A., Umar, M., & Erdoğan, F. (2019). Stochastic numerical approach for solving second order nonlinear singular functional differential equation. Applied Mathematics and Computation, 363, 124605. Search in Google Scholar

Ahmadova, A., & Mahmudov, N. I. (2021). Ulam–Hyers stability of Caputo type fractional stochastic neutral differential equations. Statistics & Probability Letters, 168, 108949. Search in Google Scholar

Moghaddam, B. P., Mendes Lopes, A., Tenreiro Machado, J. A., & Mostaghim, Z. S. (2019). Computational scheme for solving nonlinear fractional stochastic differential equations with delay. Stochastic Analysis and Applications, 37(6), 893-908. Search in Google Scholar

Ren, Y., Jia, X., & Sakthivel, R. (2017). The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion. Applicable Analysis, 96(6), 988-1003. Search in Google Scholar

Song, Y., Sohl-Dickstein, J., Kingma, D. P., Kumar, A., Ermon, S., & Poole, B. (2020). Score-based generative modeling through stochastic differential equations. arXiv preprint arXiv:2011.13456. Search in Google Scholar

Han, J., & Jentzen, A. (2017). Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations. Communications in mathematics and statistics, 5(4), 349-380. Search in Google Scholar

Chen, Y., & Candès, E. J. (2017). Solving random quadratic systems of equations is nearly as easy as solving linear systems. Communications on pure and applied mathematics, 70(5), 822-883. Search in Google Scholar

Bayram, M., Partal, T., & Orucova Buyukoz, G. (2018). Numerical methods for simulation of stochastic differential equations. Advances in Difference Equations, 2018(1), 1-10. Search in Google Scholar

Platzer, A. (2017). A complete uniform substitution calculus for differential dynamic logic. Journal of Automated Reasoning, 59(2), 219-265. Search in Google Scholar

Ganji, R. M., Jafari, H., & Baleanu, D. (2020). A new approach for solving multi variable orders differential equations with Mittag–Leffler kernel. Chaos, Solitons & Fractals, 130, 109405. Search in Google Scholar

Chang, A., Zhang, Y., & Chen, W. (2019). A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. Fractional calculus and applied analysis, 22(1), 27-59. Search in Google Scholar

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Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics