Derivative (finance)

Physics

Fractal dimension

Mathematics

Fractal

Mechanics

Boundary (topology)

Financial economics

Mathematical analysis

Conservation of mass

Economics

Fractal analysis

Moment (physics)

Conservation law

Classical mechanics

Fractal derivative

Fractals

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.

FRACTAL DERIVATIVE MODEL FOR TSUNAMI TRAVELING