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Numerical algorithms for nonlinear fractional stochastic Volterra-type equation
Qiao, Leijie Li, Qimin Yan, Yubin
Qiao, Leijie
Li, Qimin
Yan, Yubin
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2025-10-13
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Abstract
In this work, we investigate a class of nonlinear stochastic Volterra-type evolution equations, which can be regarded as an extension of the results reported in Qiao et al. (Fract Calc Appl Anal 27:1136–1161, 2024). For such equations, we propose an Euler scheme and rigorously establish the existence, uniqueness, and regularity of the solution. Moreover, we present the detailed numerical implementation of the scheme and derive the corresponding error estimates.
Citation
Qiao, L., Li, Q., & Yan, Y. (2025). Numerical algorithms for nonlinear fractional stochastic Volterra-type equation. International Journal of Applied and Computational Mathematics, 11(6), 227. https://doi.org/10.1007/s40819-025-02053-y
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Springer
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International Journal of Applied and Computational Mathematics
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Article
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en
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This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s40819-025-02053-y
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2349-5103
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2199-5796
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This work is supported by National Natural Science Foundation of China (12101080), National foreign expert introduction foundation (G2022004016L).