Approximate solutions of fractional Riccati equations using the Adomian decomposition method. (English) Zbl 1474.65264

Summary: The fractional derivative equation has extensively appeared in various applied nonlinear problems and methods for finding the model become a popular topic. Very recently, a novel way was proposed by J.-S. Duan [Appl. Math. Comput. 216, No. 4, 1235–1241 (2010; Zbl 1190.65031)] to calculate the Adomian series which is a crucial step of the Adomian decomposition method. In this paper, it was used to solve some fractional nonlinear differential equations.


65L99 Numerical methods for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations


Zbl 1190.65031
Full Text: DOI


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