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Product details:
- ISBN 10: 3110607050
- ISBN 13: 9783110607055
- Author: Yingjie Liang; Wen Chen; Wei Cai
This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.
Table contents:
1. Introduction
2. Hausdorff diffusion equation
3. Statistics on fractals
4. Lyapunov stability of Hausdorff derivative non-linear systems
5. Hausdorff radial basis function
6. Hausdorff PDE modeling
7. Local structural derivative
8. Perspectives
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