ENGLISH

Hausdorff Calculus: Applications to Fractal Systems

By Wei Cai , Wen Chen , Yingjie Liang

Book information

Publisher
de Gruyter
Year
2019
ISBN
978-3-11-060692-8
Language
english
Format
PDF
Filesize
6 MB (5959746 bytes)
Series
Fractional Calculus in Applied Sciences and Engineering 6
Volume
6
Pages
150\150
Time added
2020-01-03 12:45:46

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. Cover......Page 1 Hausdorff Calculus: Applications to Fractal Systems ......Page 5 © 2019......Page 6 Preface......Page 7 Contents ......Page 9 1 Introduction......Page 11 2 Hausdorff diffusion equation......Page 15 3 Statistics on fractals......Page 21 4 Lyapunov stability of Hausdorff derivative non-linear systems......Page 37 5 Hausdorff radial basis function......Page 49 6 Hausdorff PDE modeling......Page 69 7 Local structural derivative......Page 119 8 Perspectives......Page 135 Bibliography ......Page 137 Index......Page 147

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