Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Well-posedness and error analysis for semilinear stochastic fractional diffusion-wave equations with multiplicative noise. |
| Συγγραφείς: |
Yang, Jinping1 (AUTHOR) yjpll0627@163.com, Li, Zhiqiang1 (AUTHOR) lizhiqiang0914@126.com, Yan, Yubin1,2 (AUTHOR) y.yan@chester.ac.uk |
| Πηγή: |
Computers & Mathematics with Applications. Oct2026, Vol. 220, p266-292. 27p. |
| Θεματικοί όροι: |
*Caputo fractional derivatives, *Galerkin methods, *Stochastic partial differential equations, *Error analysis in mathematics, *Numerical integration, *Fractional differential equations |
| Περίληψη: |
This paper investigates the well-posedness and error analysis of a semilinear stochastic ψ ˜ -Caputo fractional diffusion-wave equation driven by fractionally integrated multiplicative noise. The existence, uniqueness, and regularity of mild solutions are established by combining the Banach fixed point theorem with the smoothing properties of the associated fractional solution operators. A novel fully discrete numerical scheme is developed using a spectral Galerkin method for spatial discretization together with a Mittag-Leffler Euler method for time integration. Rigorous error estimates are derived, yielding strong convergence results for the proposed scheme. Numerical experiments are presented to support the theoretical analysis and to demonstrate the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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