The homotopy analysis method for handling systems of fractional differential equations
By Mohammad Zurigat, Shaher Momani, Zaid M. Odibat, Ahmad Alawneh. 2010
169 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/bfafe844440c8d299332f7ffede6ef9314e899f8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Modeling and Simulation
- Ş. Yüzbaşı
- A. Sami Bataineh
- M. H. Atabakzadeh
- Mohammad Hossein Akrami
- G. Hossien Erjaee
- Zaid M. Odibat
- Shaher Momani
- Ji-Huan He
In Numerical Analysis
- Ş. Yüzbaşı
- A. Sami Bataineh
- M. H. Atabakzadeh
- Mohammad Hossein Akrami
- G. Hossien Erjaee
- Zaid M. Odibat
- Shaher Momani
- Ji-Huan He
Citations in the corpus
- 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”
- An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials (2015, methodology): “For more details about the applications of the method, the reader is advised to consult the research works presented in [7–36] or the references therein.”
- Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach ☆ (2013, unknown): “Especially, the study on the dynamics of fractional-order differential systems has attracted increasing affection from many researchers [8–13].”
- Numerical solution of the Bagley–Torvik equation by the Bessel collocation method (2013, methodology): “Also, some fractional differential equations have been solved by applying the various methods such as the pseudospectral scheme [8], the Chebyshev spectral methods [9], the operational matrix method [10], the Haar wavelet method [11], the Adomian decomposition method [12, 13], the Legendre wavelets ”