کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899264 1631543 2018 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by multiplicative white noise
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Analysis of time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by multiplicative white noise
چکیده انگلیسی
In this paper, we establish the existence and uniqueness of the mild solution and the Hölder continuity for the time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by multiplicative white noise. A full discrete scheme with spectral Galerkin method in space and exponential method in time is proposed. It is rigorously proved that the numerical scheme admits an unique solution. Finally, we present the optimal error estimates of the proposed scheme based on the regularity analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 466, Issue 2, 15 October 2018, Pages 1525-1544
نویسندگان
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