Hausdorff Calculus:Applications to Fractal Systems


Hausdorff Calculus:Applications to Fractal Systems (Fractional Calculus in Applied Sciences and Engineering)
Authors:Yingjie Liang
ISBN-10 书号:3110606925
ISBN-13 书号:9783110606928
Release Finelybook 出版日期:2019-03-04
pages 页数:148 pages
9

Book Description
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.
Contents
1Introduction
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
Bibliography
Index


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