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

Format:

• Book

Author/Creator:

• Liang, Yingjie, Author.
• Cai, Wei, Author.
• Chen, Wen, Author.

Series:

• Fractional calculus in applied sciences and engineering ; Volume 6.
• Fractional Calculus in Applied Sciences and Engineering ; 6

Language:

English

Subjects (All):

• Fractals.
• Hausdorff measures.
• Fractal analysis.

Physical Description:

1 online resource (viii, 138 pages) : illustrations.

Place of Publication:

Berlin ; Boston : De Gruyter, [2019]

Language Note:

In English.

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.

Contents:

• 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

Notes:

Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Apr 2020)

ISBN:

• 9783110607055
• 3110607050
• 9783110608526
• 3110608529

OCLC:

1091694813