TY  - EJOU
AU  - Yi, Mingxu 
AU  - Huang, Jun 
AU  - Wang, Lifeng 

TI  - Operational Matrix Method for Solving Variable Order Fractional Integro-differential Equations
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2013
VL  - 96
IS  - 5
SN  - 1526-1506

AB  - In this paper, operational matrix method based upon the Bernstein polynomials is proposed to solve the variable order fractional integro-differential equations in the Caputo derivative sense. We derive the Bernstein polynomials operational matrix of fractional order integration and introduce the product operational matrix of Bernstein polynomials. A truncated the Bernstein polynomials series together with the polynomials operational matrix are utilized to reduce the variable order fractional integro-differential equations to a system of algebraic equations. Only a small number of Bernstein polynomials are needed to obtain a satisfactory result. Some examples are included to demonstrate the validity and applicability of the method.
KW  - Bernstein polynomials
KW  -  variable order fractional
KW  -  operational matrix
KW  -  numerical solution

DO  - 10.3970/cmes.2013.096.361