عنوان
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Numerical Solution for a Class of Time-Fractional Stochastic Delay Differential Equations with Fractional Brownian Motion
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Stochastic delay differential equation, Fractional Brownian motion, Step-by-step scheme, Jacobi collocation technique, Convergence analysis.
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چکیده
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In this article, a numerical scheme is proposed to solve a class of time-fractional stochastic delay differential equations (TFSDDEs) with fractional Brownian motion (fBm). First, we convert the TFSDDE into a non-delay equation by using a step-by-step scheme. Then, by applying a collocation method based on Jacobi polynomials (JPs) in each step, the non-delay equation is reduced to a nonlinear system of algebraic equations. The convergence analysis of the presented scheme is evaluated. Finally, two numerical test examples are presented to highlight the applicability and efficiency of the investigated method.
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پژوهشگران
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افشین بابائی (نفر سوم)، حسین جعفری (نفر دوم)، صدیقه بنی هاشمی (نفر اول)
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