Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation

By Hossein Jafari, S. Seifi. 2009

194 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5aa3f0dac6488214828f9b2cacbe507a65c0f567

How researchers see this paper

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

In Mechanics of Materials

1. Abbas Saadatmandi
2. Mehdi Dehghan
3. Hassan Kamil Jassim
4. Jalil Manafian
5. Haci Mehmet Baskonus
6. Hasan Bulut
7. Y. Pandır
8. Aimin Yang

In Modeling and Simulation

1. Mehdi Dehghan
2. Abbas Saadatmandi
3. Jalil Manafian
4. Hassan Kamil Jassim
5. Haci Mehmet Baskonus
6. Hasan Bulut
7. Aimin Yang
8. A. HaghBin

In Numerical Analysis

1. Mehdi Dehghan
2. Abbas Saadatmandi
3. Jalil Manafian
4. Haci Mehmet Baskonus
5. Hassan Kamil Jassim
6. Aimin Yang
7. A. HaghBin
8. Chunxue Zhao

Citations in the corpus

• Local fractional series expansion method for solving wave and diffusion equations on Cantor sets (2013, unknown): “Various methods, for example, the Adomian decomposition method [10], the Rach-Adomian-Meyers modified decompositionmethod [11], the variational iteration method [12, 13], the homotopy perturbation method [13, 14], the fractal Laplace and Fourier transforms [15], the homotopy analysismethod [16], the”
• Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators (2015, methodology): “Various methods, for example, the Adomian decompositionmethod [10], the RichAdomian-Meyers modified decomposition method [11], the variational iterationmethod [12], the homotopy perturbation method [13, 14], the fractal Laplace and Fourier transforms [15], the homotopy analysis method [16], the heat”
• The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation (2013, methodology): “Firstly, we consider one-dimensional nonlinear fractional wave equation [23].”
• 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”
• The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative (2014, methodology): “There are analytical methods and numerical methods for solving the differential equations, such as the finite element method [6], the harmonic wavelet method [7–9], the Adomian decomposition method [10–12], the homotopy analysismethod [13, 14], the homotopy decomposition method [15, 16], the heat ba”