A Collocation Method for Solving Fractional Order Linear System

Amir Hosein Refahi Sheikhani; Mahamad Mashoof

doi:10.22342/jims.23.1.257.27-42

Amir Hosein Refahi Sheikhani ⁽¹⁾ , Mahamad Mashoof ⁽²⁾

(1) Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran, Iran, Islamic Republic of,

(2)

https://doi.org/10.22342/jims.23.1.257.27-42

Issue
Volume 23 Number 1 (April 2017)

Submitted
May 15, 2016

Accepted
February 8, 2017

Published
December 24, 2017

PDF

Abstract

In this paper we propose the collocation method to achieve the numerical solution of fractional order linear
systems where a Fractional Derivative is defined in the Caputo sense.We use Taylor collocation method,
which is based on collocation method for solving fractional differential equation. This method is based on
first taking the truncated Taylor expansions of the vector function’s solution in the Fractional order linear
system and then substituting their matrix forms into the system. Using collocation points, we have a system
of linear algebraic equation.The method has been tested by some numerical examples.

DOI : http://dx.doi.org/10.22342/jims.23.1.257.

Full text article

Generated from XML file

Authors

Amir Hosein Refahi Sheikhani

Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran

ah_refahi@liau.ac.ir (Primary Contact)

Mahamad Mashoof

Refahi Sheikhani, A. H., & Mashoof, M. (2017). A Collocation Method for Solving Fractional Order Linear System. Journal of the Indonesian Mathematical Society, 23(1), 27–42. https://doi.org/10.22342/jims.23.1.257.27-42