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Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise
Li, Ziqiang Yan, Yubin
Li, Ziqiang
Yan, Yubin
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2024-02-21
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Abstract
We investigate a semilinear stochastic time-space fractional subdiffusion equation driven by fractionally integrated multiplicative noise. The equation involves the ψ-Caputo derivative of order α∈(0, 1) and the spectral fractional Laplacian of order β∈(12, 1]. The existence and uniqueness of the mild solution are proved in a suitable Banach space by using the Banach contraction mapping principle. The spatial and temporal regularities of the mild solution are established in terms of the smoothing properties of the solution operators.
Citation
Li, Z., & Yan, Y. (2024). Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise. Fractional Calculus and Applied Analysis, 27(2), 487-518. https://doi.org/10.1007/s13540-024-00244-w
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Springer
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Fractional Calculus and Applied Analysis
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Article
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The version of record of this article, first published in [Fractional Calculus and Applied Analysis: An International Journal for Theory and Applications], is available online at Publisher’s website: http://dx.doi.org/10.1007/s13540-024-00244-w
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1311-0454
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1314-2224