Hausdorff Calculus : : Applications to Fractal Systems / / Wen Chen, Yingjie Liang, 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 f...

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Series:Fractional Calculus in Applied Sciences and Engineering , 6
Online Access:
Physical Description:1 online resource (VIII, 138 p.)
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Other title:Frontmatter --
Preface --
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 --
Bibliography --
Index
Summary: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.
Format:Mode of access: Internet via World Wide Web.
ISBN:9783110608526
9783110762464
9783110719567
9783110616859
9783110610765
9783110664232
9783110610406
9783110606362
ISSN:2509-7210 ;
DOI:10.1515/9783110608526
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: Wen Chen, Yingjie Liang, Wei Cai.