Author : Alshaimaa A. Omar and Osama H. Mohammed

In this paper, we use Bernstein polynomials to solve multiterm variable order fractional differential equations. The main idea of this paper is that we use Bernstein polynomials and operational matrices to solve such types of equations. The equation is transformed into the products of several dependent matrices, which can also be viewed as an algebraic system by making use of the collocation points. By solving the algebraic system, the numerical solutions will then be obtained. Finally, numerical examples are presented to demonstrate the accuracy of the proposed method.

Keywords: Variable order caputo fractional derivatives, Bernstein polynomials, operational matrices of variable fractional order derivative of Bernstein polynomials

Article published in International Journal of Current Engineering and Technology, Vol.7, No.1 (Feb-2017)