2010•arXiv (Cornell University)Open access

Fractional Adomian Decomposition Method

Guo–Cheng Wu, Ji‐Huan He

Open full text 3 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Adomian decomposition method, Fractional calculus, Decomposition method (queueing theory), Mathematics, Decomposition, Nonlinear system, Derivative (finance), Exact solutions in general relativity

Related papers

Back to paper searchBrowse research topicsOriginal source
Fractional Adomian Decomposition Method — Research Paper | ScholarLens