Abbaoui, K. and Cherruault, Y. (1995) New Ideas for Proving Convergence of Decomposition Methods. Computers & Mathematics with Applications, 29, 103-108. - References

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Abbaoui, K. and Cherruault, Y. (1995) New Ideas for Proving Convergence of Decomposition Methods. Computers & Mathematics with Applications, 29, 103-108.
https://doi.org/10.1016/0898-1221(95)00022-Q

has been cited by the following article:

TITLE: The Adomian Decomposition Method for a Type of Fractional Differential Equations

AUTHORS: Peng Guo

KEYWORDS: Caputo, Fractional Integral, Adomian Decomposition Method, Approximate

JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.10, October 24, 2019

ABSTRACT: Fractional differential equations are widely used in many fields. In this paper, we discussed the fractional differential equation and the applications of Adomian decomposition method. Where the fractional operator is in Caputo sense. Through the numerical test, we can find that the Adomian decomposition method is a powerful tool for solving linear and nonlinear fractional differential equations. The numerical results also show the efficiency of this method.