دانلود مقاله Solving nonlinear fractional differential equations by Bernstein polynomials operational matrices
سال انتشار: ۱۳۹۱
محل انتشار: کنفرانس بین المللی مدل سازی غیر خطی و بهینه سازی
تعداد صفحات: ۱۴
Mohsen Alipour – Department of Mathematics, Imam Khomeini International University
Davood Rostamy –
In this paper, we solve nonlinear fractional differential equations by Bernstein polynomials. Firstly, we derive the Bernstein polynomials (BPs) operational matrix for thefractional derivative in the Caputo sense, which has not been undertaken before. This method reduces the problems to a system of algebraic equations. The results obtained are in good agreement with the analytical solutions and the numerical solutions in openliteratures. Also, the solutions approach to classical solutions as the order of the fractional derivatives approach to 1.