Reproducing Kernel Method for Fractional Riccati Differential Equations

Abstract EN

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.