FRACTIONAL VARIATIONAL ITERATION METHOD AND ITS APPLICATION

By Guo-cheng Wu, E. Lee. 2010

382 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/e108029490bc1f6b1dc19867da2093ac0e4c5ae3

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. Jagdev Singh
2. Devendra Kumar
3. Sohrab Effati
4. Ali Alizadeh
5. Zheng-Biao Li
6. Renat Zhdanov
7. Khaled A. Gepreel
8. Qing Huang

In Modeling and Simulation

1. Jagdev Singh
2. Devendra Kumar
3. Ji-Huan He
4. Sohrab Effati
5. Ali Alizadeh
6. Zheng-Biao Li
7. Ahmet Bekir
8. Renat Zhdanov

In Numerical Analysis

1. Jagdev Singh
2. Devendra Kumar
3. Ji-Huan He
4. Sohrab Effati
5. Ali Alizadeh
6. Zheng-Biao Li
7. Renat Zhdanov
8. Khaled A. Gepreel

Citations in the corpus

• Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann–Liouville derivative (2014, methodology): “Nevertheless, various methods such as Laplace transform [5], Fourier transform [8], variational iteration [12], finite difference [13], Adomian decomposition [14], homotopy perturbation [15,16], and generalized differential transform [17]methods, have been used to solve these equations and have achi”
• Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations (2011, methodology): “Among these are the Adomian decomposition method (ADM) [8], He’s semi-inverse method [9], the tanh method, the homotopy perturbation method (HPM), the sinh–cosh method, the differential transform method and the variational iteration method (VIM) [10-17].”
• An iterative approach for solving fractional optimal control problems (2018, positive): “The fractional VIM with the Riemann–Liouville derivative was proposed by Wu and Lee (2010) and applied to solve timefractional and space-fractional diffusion equations.”
• Alternative variational iteration method for solving the time-fractional Fornberg–Whitham equation (2015, neutral): “Wu and Lee proposed a fractional VIM with Jumarie’s derivative for solving space and time fractional partial differential equations in [32].”
• Exact solutions for nonlinear partial fractional differential equations (2012, methodology): “org variation approach with several variables [33], the fractional variational iteration method [34], the fractional variational approach with natural boundary conditions [35] and the fractional Lie group method [36].”
• Fractional Complex Transform for Fractional Differential Equations (2010, methodology): “Many powerful methods for solving fractional differential equations were appeared in open literature, such as the variational iteration method [1,2], the homotopy perturbation method [3] and the expfunction method[4].”