مشخصات پژوهش

عنوان	Application of hat basis functions for solving two-dimensional stochastic fractional integral equations
نوع پژوهش	مقاله چاپ‌شده در مجله
کلیدواژه‌ها	Stochastic fractional integral equations, Fractional calculus ,Operational matrix, Hat basis functions, Brownian motion process, Error analysis
چکیده	This article concerns with a computational scheme to solve two-dimensional stochastic fractional integral equations (2DSFIEs), numerically. In these equations, the fractional integral is considered in the Riemann–Liouville sense. The proposed method is essentially based on two-dimensional hat basis functions and its fractional operational matrices. The fractional-order operationalmatrices of integration are applied to reduce the solution of 2DSFIEs to the solution of a system of linear equations which can be solved using a direct method or iterative method. Some results concerning the convergence analysis associated with the proposed technique are discussed. In addition, we establish the rate of convergence of this approach for solving 2DSFIEs is O(h2). Finally, some examples are solved using present method to indicate the pertinent features of the method.
پژوهشگران	فرشید میرزایی (نفر اول)، نسرین صمدیار (نفر دوم)