Analytical approach to linear fractional partial differential equations arising in fluid mechanics
By Shaher Momani, Zaid M. Odibat. 2006
317 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/421c4b761b8480de51a6cf55a2d3c907cbcfa2e3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
- Saeed Kazem
- Ji-Huan He
- Zaid M. Odibat
- Xu-Hong Wu
- Mehdi Dehghan
- Shaher Momani
- Ishak Hashim
- M. Noorani
In Modeling and Simulation
- Mehdi Dehghan
- Ji-Huan He
- Zaid M. Odibat
- Ishak Hashim
- M. Noorani
- Saeed Kazem
- Shaher Momani
- Xu-Hong Wu
In Numerical Analysis
- Mehdi Dehghan
- Ji-Huan He
- Zaid M. Odibat
- Ishak Hashim
- M. Noorani
- Saeed Kazem
- Shaher Momani
- S. Yousefi
Citations in the corpus
- Legendre wavelets method for the numerical solution of fractional integro-differential equations with weakly singular kernel (2016, background): “Linear and nonlinear differential equations with fractional order have proved to be valuable tools to the modeling of many physical phenomena [1-5].”
- Variational iteration method for the Burgers' flow with fractional derivatives—New Lagrange multipliers (2013, unknown): “[16–20] applied the VIM to the above equation and suggested a variational iteration formula unþ1 1⁄4 un þ R t 0 kðt; sÞð0D a sun þ R1⁄2un þ N1⁄2un f ðsÞÞds; 0 < t; 0 < a 6 1; kðt; sÞ 1⁄4 1; ( ð2Þ”
- Exact Solution of Some Linear Fractional Differential Equations by Laplace Transform (2013, methodology): “Keywords: Fractional-order differential equations; Laplace Transform; Inverse Laplace Transform.”
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations (2011, methodology): “xm u(x, t), =m∈N This fractional type of telegraph equation is solved in [6, 7] by the Adomian decomposition method.”
- Variational iteration method for fractional heat- and wave-like equations (2009, methodology): “Momani and Odibat [18] used VIM to find approximation solutions of one dimension of heat- and wave-like equations.”
- THE CONSTRUCTION OF OPERATIONAL MATRIX OF FRACTIONAL DERIVATIVES USING B-SPLINE FUNCTIONS (2012, background): “A history of the development of fractional differential operators can be found in [26,28,32].”