مشخصات پژوهش

عنوان	Efficient Solutions for Stochastic Fractional Differential Equations with a Neutral Delay Using Jacobi Poly-Fractonomials
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	fractional neutral stochastic differential equations, Caputo fractional derivative, time-varying delay, iterative collocation method, Jacobi poly-fractonomials, numerical solution
چکیده	This paper introduces a novel numerical technique for solving fractional stochastic differential equations with neutral delays. The method employs a stepwise collocation scheme with Jacobi poly-fractonomials to consider unknown stochastic processes. For this purpose, the delay differential equations are transformed into augmented ones without delays. This transformation makes it possible to use a collocation scheme improved with Jacobi poly-fractonomials to solve the changed equations repeatedly. At each iteration, a system of nonlinear equations is generated. Next, the convergence properties of the proposed method are rigorously analyzed. Afterward, the practical utility of the proposed numerical technique is validated through a series of test examples. These examples illustrate the method’s capability to produce accurate and efficient solutions.
پژوهشگران	الکساندرا گالیانو (نفر پنجم)، آرمان دبیری (نفر چهارم)، بهروز پارسا مقدم (نفر سوم)، صدیقه بنی هاشمی (نفر دوم)، افشین بابائی (نفر اول)