@Article{cmes.2013.096.361,
AUTHOR = {Mingxu Yi, Jun Huang, Lifeng Wang},
TITLE = {Operational Matrix Method for Solving Variable Order Fractional Integro-differential Equations},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {96},
YEAR = {2013},
NUMBER = {5},
PAGES = {361--377},
URL = {http://www.techscience.com/CMES/v96n5/27041},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.3970/cmes.2013.096.361}
}