Genocchi polynomial method for the multiterm variable-order fractional differentıal equations

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:40 Issue:1
Genocchi polynomial method for the multiterm variable-order fractional differentıal equations

Genocchi polynomial method for the multiterm variable-order fractional differentıal equations

Authors : Sadiye Nergis TURAL POLAT, Arzu TURAN DINCEL

Pages : 79-84

View : 44 | Download : 12

Publication Date : 2022-03-25

Article Type : Research Paper

Abstract :In this paper a numerical solution for multiterm varable-order fractional differential equations insert ignore into journalissuearticles values(VO-FDEs); using Genocchi polynomials is proffered. By making use of the Genocchi polynomials, a multiterm VO-FDE can be approximated by a corresponding system of algebraic equations. To be able to do that, operational matrices for variable order fractional differentials are obtained using Genocchi polynomials. Then the algebraic equation system is solved for the coefficient values, thus the approximate solution is obtained by using the linear combination of those coefficients. Numerical examples are provided.
Keywords : Genocchi polynomials, Collocation method, Variable order fractional differential equations, Numerical FDE solutions

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