This paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique. Its main advantage is that it can produce good approximations in a larger interval, rather than a local vicinity of the initial position. Numerical results are compared with some existing methods to show the accuracy and effectiveness of the present method.
"Reproducing Kernel Method for Fractional Riccati Differential Equations." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/970967