Numerical solutions of multi-order fractional differential equations by Boubaker polynomials
Bolandtalat A.,
Babolian E.,
Jafari H.
Affiliations
Bolandtalat A.
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran (Islamic Republic of)
Babolian E.
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran (Islamic Republic of)
Jafari H.
Department of Mathematical sciences, University of South Africa, UNISA003, South Africa\newline and Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran (Islamic Republic of)
In this paper, we have applied a numerical method based on Boubaker polynomials to obtain approximate numerical solutions of multi-order fractional differential equations. We obtain an operational matrix of fractional integration based on Boubaker polynomials. Using this operational matrix, the given problem is converted into a set of algebraic equations. Illustrative examples are are given to demonstrate the efficiency and simplicity of this technique.
