Article citationsMore>>

Odibat, Z. and Momani, S. (2008) Numerical Methods for Nonlinear Partial Differential Equations of Fractional Order. Applied Mathematical Modelling, 32, 28-39.
https://doi.org/10.1016/j.apm.2006.10.025

has been cited by the following article:

• 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.