Local fractional series expansion method for solving wave and diffusion equations on Cantor sets

By Aimin Yang, Xiao-jun Yang, Zhengming Li. 2013

101 citations recorded by the source corpus.

We proposed a local fractional series expansion method to solve the wave and diffusion equations on Cantor sets. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9145541d1487b848a928263e38472986408952a0

How researchers see this paper

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In Applied Mathematics

1. Carlo Cattani
2. Aimin Yang
3. Xiao-jun Yang
4. Dumitru Băleanu
5. Mohamed A. E. Herzallah

In Modeling and Simulation

1. Carlo Cattani
2. Aimin Yang
3. Xiao-jun Yang
4. Gongnan Xie
5. Mohammad Mehdi Rashidi
6. Yu-Zhu Zhang
7. Yi-Jun Zhou
8. Dumitru Băleanu

In Numerical Analysis

1. Aimin Yang
2. Carlo Cattani
3. Gongnan Xie
4. Mohammad Mehdi Rashidi
5. Yu-Zhu Zhang
6. Yi-Jun Zhou
7. Xiao-jun Yang
8. Dumitru Băleanu

Citations in the corpus

• Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets (2014, methodology): “In order to illustrate the idea of the local fractional series expansion method [24-26], we consider the local fractional differential operator equation in the form:”