SOLVING A SYSTEM OF NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS USING HOMOTOPY ANALYSIS METHOD
By Hossein Jafari, S. Seifi. 2009
161 citations recorded by the source corpus.
Subfields: Mathematical Physics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/8f9274c22c16139b03142b1d549f7bf5cfbfc4d3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
- Abbas Saadatmandi
- Waleed Mohamed Abd-Elhameed
- Mehdi Dehghan
- Youssri Hassan Youssri
- Ali Shokri
- Arturas Stikonas
- M. Tatari
- Elyas Shivanian
In Modeling and Simulation
- Mehdi Dehghan
- Jalil Manafian
- Abbas Saadatmandi
- Youssri Hassan Youssri
- Waleed Mohamed Abd-Elhameed
- Ali H. Bhrawy
- Mehrdad Lakestani
- M. A. Zaky
In Numerical Analysis
- Mehdi Dehghan
- Abbas Saadatmandi
- Jalil Manafian
- Youssri Hassan Youssri
- Waleed Mohamed Abd-Elhameed
- Ali H. Bhrawy
- Mehrdad Lakestani
- S. Yousefi
Citations in the corpus
- New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations (2014, methodology): “There are numerous methods that deal with these types of equations; some of these methods are Laplace transform [4], Adomian decomposition method (ADM) [5], variational iteration method (VIM) [6], fractional difference method (FDM) [7], a quadrature tau method [8], and a shifted Jacobi spectral meth”
- Solving nonlinear fractional partial differential equations using the homotopy analysis method (2010, background): “Some fundamental works on various aspects of the fractional calculus are given by Abbasbandy [6], Caputo [7], Debanth [8], Diethelm et al. [9], Hayat et al. [10], Jafari and Seifi [11] [12], Kemple and Beyer [13], Kilbas and Trujillo [14], Kiryakova [15], Miller and Ross [2], Momani and Shawagfeh [1”