Two computational algorithms for the numerical solution for system of fractional differential equations

Two computational algorithms for the numerical solution for system of fractional differential equations

In this paper, two efficient numerical methods for solving system of fractional differential equations (SFDEs) are considered. The fractional derivative is described in the Caputo sense. The first method is based upon Chebyshev approximations, where the properties of Chebyshev polynomials are utiliz...

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Bibliographic Details
Main Authors: M.M. Khader, N.H. Sweilam, A.M.S. Mahdy
Format: Article
Language:English
Published: Emerald Publishing 2015-01-01
Series:Arab Journal of Mathematical Sciences
Subjects:
System of fractional differential equations
Caputo derivative
Chebyshev approximation
Convergence analysis
Grünwald–Letnikov’s approach
Fractional FDM
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516613000522

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http://www.sciencedirect.com/science/article/pii/S1319516613000522

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