An Application of Picard Iteration Method to Fractional Quadratic Riccati Differential Equations
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Date
2018
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Faculty of Physical Science, University of Ilorin
Abstract
In this paper, we present an algorithm of the Picard's Iteration method to solve Fractional Quadratic Riccati
differential equations with Caputo-derivatives. The non-linear terms are easily and simply expanded using the
traditional method of expansion. Four (4) illustrative examples are given to verify the reliability and efficiency of
the method. The approximate solutions obtained compare favorably with the exact solutions and the approximate
solutions obtained by other numerical methods in the literature.
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Caputo-Derivatives, Fractional Quadratic Riccati Differential Equations, Picard's Iteration Method