FRACTAL DERIVATIVE MODEL FOR TSUNAMI TRAVELING-Reference-Cited by-同舟云学术

FRACTAL DERIVATIVE MODEL FOR TSUNAMI TRAVELING

Published:2019-03 Issue:02 Volume:27 Page:1950017
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG YAN¹²^ORCID,DENG QIGEN³⁴⁵

Affiliation:

1. School of Science, Tianjin University of Commerce, Tianjin 300134, P. R. China

2. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China

3. State Key Laboratory Cultivation Base for Gas Geology and Gas Control, Henan Polytechnic University, Jiaozuo 454003, P. R. China

4. School of Safety Science and Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China

5. Collaborative Innovation Center of Coal Safety Production of Henan Province, Jiaozuo 454003, P. R. China

Abstract

Tsunami traveling in an unsmooth boundary is studied, where the boundary is considered as a fractal surface, and mass conservation and moment conservation in a fractal space are established, and a fractal derivative-based tsunami model is established. Other discontinuous boundaries can be treated in a similar way.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X19500178

Reference17 articles.

1. Solitons and Tsunamis

2. A fractional Whitham-Broer-Kaup equation and its possible application to Tsunami prevention

3. An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation

4. A Tutorial Review on Fractal Spacetime and Fractional Calculus

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