SOLUTION OF AN EXTRAORDINARY DIFFERENTIAL EQUATION BY ADOMIAN DECOMPOSITION METHOD

By S. Ray, R. Bera. 2004

73 citations recorded by the source corpus.

The aim of the present analysis is to apply the Adomian decomposition method for the solution of a fractional differential equation as an alternative method of Laplace transform.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/22d5ed9e078b5e2fee0513c9ce30f5ba7f351cc0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. M. H. Atabakzadeh
2. Mohammad Hossein Akrami
3. Yizheng Hu
4. Yong Luo
5. G. Hossien Erjaee
6. Zhengyi Lu
7. Marwan Alquran

In Modeling and Simulation

1. M. H. Atabakzadeh
2. Mohammad Hossein Akrami
3. Yizheng Hu
4. Yong Luo
5. G. Hossien Erjaee
6. Zhengyi Lu
7. Marwan Alquran

In Numerical Analysis

1. M. H. Atabakzadeh
2. Mohammad Hossein Akrami
3. Yizheng Hu
4. Yong Luo
5. G. Hossien Erjaee
6. Zhengyi Lu

Citations in the corpus

• Analytical solution of the linear fractional differential equation by Adomian decomposition method (2008, methodology): “And at present an attempt has been made to obtain the solutions of fractional differential equations by the decomposition method, as the decompositionmethod provides an effective procedure for the analytical solution of large classes of linear and nonlinear differential equations [1–4,13,16,17].”
• Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations (2013, methodology): “In this case, Adomian’s decomposition method [7, 8, 9, 10, 11, 12], homotopy perturbation method [13, 14], analytical homotopy method [15, 16, 17], differential transform method [18] are relatively”