مشخصات پژوهش

صفحه نخست /SOLVING MULTI-TERM ORDERS ...
عنوان SOLVING MULTI-TERM ORDERS FRACTIONAL DIFFERENTIAL EQUATIONS BY OPERATIONAL MATRICES OF BPs WITH CONVERGENCE ANALYSIS
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Bernstein polynomials, fractional differential equations, operational matrix, Caputo derivative, convergence analysis.
چکیده In this paper, we present a numerical method for solving a class of fractional differential equations (FDEs). Based on Bernstein Polynomials (BPs) basis, new matrices are utilized to reduce the multi-term orders fractional differential equation to a system of algebraic equations. Convergence analysis is shown by several theorems. Illustrative examples are included to demonstrate the validity and applicability of this method.
پژوهشگران داوود رستمی (نفر اول)، محسن علیپور (نفر دوم)، Dumitru Baleanu (نفر چهارم)، حسین جعفری (نفر سوم)