Fractional Adomian Decomposition Method

2010/06/28 by Guo–Cheng Wu, Ji‐Huan He, Wu, Guo-cheng +1
Mathematics · Physics and Astronomy · #34BXX 65Dxx 34A08 #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1006.5264

openalex publication_date 2010/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A fractional Adomian decomposition method for fractional nonlinear differential equations is proposed. The iteration procedure is based on Jumarie's fractional derivative. An example is given to elucidate the solution procedure, and the results are compared with the exact solution, revealing high accuracy and efficiency.

Citations

• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results

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