Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets
By Aimin Yang, Yu-Zhu Zhang, Carlo Cattani, Gongnan Xie, Mohammad Mehdi Rashidi, Yi-Jun Zhou, Xiao-jun Yang. 2014
138 citations recorded by the source corpus.
We use the local fractional series expansion method to solve the Klein-Gordon equations on Cantor sets within the local fractional derivatives. The analytical solutions within the nondifferential terms are discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems of the liner differential equations on Cantor sets.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/d46f417999c35840c10210baab9fa16b9573320c
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In Applied Mathematics
- Dumitru Băleanu
- Ali H. Bhrawy
- Hassan Kamil Jassim
- Thabet Abdeljawad
- Arran Fernandez
- Fahd Jarad
- J. Machado
- M. A. Zaky
In Modeling and Simulation
- Ali H. Bhrawy
- Dumitru Băleanu
- Hassan Kamil Jassim
- A. Alzahrani
- Y. Alhamed
- M. A. Zaky
- Amin Jajarmi
- Thabet Abdeljawad
In Numerical Analysis
- Dumitru Băleanu
- Ali H. Bhrawy
- A. Alzahrani
- Y. Alhamed
- Hassan Kamil Jassim
- Arran Fernandez
- Amin Jajarmi
- Thabet Abdeljawad
Citations in the corpus
- New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions (2014, background): “For some recent developments on this subject, see [19, 26, 11, 35, 34, 31, 33].”
- A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets (2019, methodology): “The theory of local fractional calculus was successfully utilized to describe the non-differentiable problems arising in mathematical physics, such as Schrödinger equations [1], the gas dynamic equation [2], the telegraph equation [3], the wave equation [4–7], Fokker–Planck equations [8,9], Laplace ”