TITLE:
A New Technique for Solving Fractional Order Systems: Hermite Collocation Method
AUTHORS:
Nilay Akgonullu Pirim, Fatma Ayaz
KEYWORDS:
Fractional Order Differential Equations, Hermite Polynomials, Hermite Series, Collocation Methods
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.18,
December
12,
2016
ABSTRACT: In this study, we establish an approximate
method which produces an approximate Hermite polynomial solution to a system of
fractional order differential equations with variable coefficients. At
collocation points, this method converts the mentioned system into a matrix
equation which corresponds to a system of linear equations with unknown Hermite
polynomial coefficients. Construction of the method on the aforementioned type
of equations has been presented and tested on some numerical examples. Results
related to the effectiveness and reliability of the method have been
illustrated.