The aim of this article is to introduce the Laplace-Adomian-Padé method (LAPM) to the Riccati differential equation of fractional order. This method presents accurate and reliable results and has a great perfection in the Adomian decomposition method (ADM) truncated series solution which diverges promptly as the applicable domain increases. The approximate solutions are obtained in a broad range of the problem domain and are compared with the generalized Euler method (GEM). The comparison shows a precise agreement between the results, the applicable one of which needs fewer computations. © 2013 Khan et al.
CITATION STYLE
Khan, N. A., Ara, A., & Khan, N. A. (2013). Fractional-order Riccati differential equation: Analytical approximation and numerical results. Advances in Difference Equations, 2013. https://doi.org/10.1186/1687-1847-2013-185
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