Approximate solutions of fractional Riccati equations using the Adomian decomposition method
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 \textit{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.
scientific article; zbMATH DE number 7023397
scientific article