Variational iteration method for fractional calculus - a universal approach by Laplace transform
By Guo-cheng Wu, Dumitru Băleanu. Advances in Differential Equations, 2013
119 citations recorded by the source corpus.
A novel modification of the variational iteration method (VIM) is proposed by means of the Laplace transform. Then the method is successfully extended to fractional differential equations. Several linear fractional differential equations are analytically solved as examples and the methodology is demonstrated. MSC: 39A08, 65K10, 34A12.
Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/e62ef0df0538216dca8fe7002e3cc1a8b7722814
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In Mechanics of Materials
- Ali H. Bhrawy
- Taha M. Taha
- Dumitru Băleanu
- Arran Fernandez
- Mehmet Yavuz
- Abdon Atangana
- Behzad Ghanbari
- Thabet Abdeljawad
In Modeling and Simulation
- Ali H. Bhrawy
- Dumitru Băleanu
- Taha M. Taha
- M. A. Zaky
- Amin Jajarmi
- J. Machado
- Thabet Abdeljawad
- Arran Fernandez
In Numerical Analysis
- Dumitru Băleanu
- Ali H. Bhrawy
- Taha M. Taha
- M. A. Zaky
- Arran Fernandez
- Amin Jajarmi
- Thabet Abdeljawad
- Pshtiwan Othman Mohammed
Citations in the corpus
- Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems (2013, methodology): “We refer also to recent numerical and analytical methods for solving FEEs [10–16].”