Numerical solution of Fractional Neutral Functional Differential Equations by A shifted Chebyshev computational matrix

" Numerical solution of Fractional Neutral Functional Differential Equations by A shifted Chebyshev computational matrix " , S.Kouhkani , H. Koppelaar ...2018, No.1 , P. 5 - 14 


Abstract :

In this article, we develop a direct solution technique for solving Fractional Neutral Functional-Differential Equations (FNFDEs) using a matrix method based upon the shifted Chebyshev tau and shifted Chebyshev collocation method. The fractional derivatives are described in the Caputo sense. The main characteristic behind the approach using this technique is that it reduces the problems to a system of algebraic equations. The results reveal that the proposed method is very effective and simple.


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