A COLLOCATION METHOD FOR SOLVING FRACTIONAL ORDER LINEAR SYSTEM
Abstract: In the current paper
we propose a collocation method to achieve an algorithm for numerically solving
of fractional order linear systems where a fractional derivative is defined in
the Caputo form. We have used the Taylor collocation method for solving
fractional differential equations; a collocation method which is based on
taking the truncated Taylor expansions of the vector function’s solution in the
fractional order linear system and substituting their matrix forms into thesystem.
Through using collocation points we have obtained a system of linear algebraic
equation. The method has been tested by some numerical examples.
Author: M. Mashoof, A.H.
Refahi Sheikhani, and H. Saberi Najafi
Journal Code: jpmatematikagg170002
