Numerical study of a class of variable order nonlinear fractional differential equation in terms of Bernstein polynomials

In this paper, we use Bernstein polynomials to seek the numerical solution of a class of nonlinear variable order fractional differential equation. The fractional derivative is described in the Caputo sense. Three different kinds of operational matrixes with Bernstein polynomials are derived and are...

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Bibliographic Details
Main Authors: Yi-ming Chen, Li-qing Liu, Dayan Liu, Driss Boutat
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447916301046