Abstract
In this paper, a numerical solution method to solve fractional differential equations with proportional Caputo derivative is introduced. Fibonacci collocation method is applied to a class of fractional differential equations. In order to show the efficiency of the proposed method, two illustrative examples are presented by tables and graphical forms. After observation the tables and graphics, it is concluded that Fibonacci collocation method gives very good and robust approximation results for the class of investigated fractional differential equations.
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