E-Book, Englisch, 303 Seiten
West Fractional Calculus View of Complexity
Erscheinungsjahr 2015
ISBN: 978-1-4987-3801-9
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
Tomorrow’s Science
E-Book, Englisch, 303 Seiten
ISBN: 978-1-4987-3801-9
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
This book is not a text devoted to a pedagogical presentation of a specialized topic nor is it a monograph focused on the author's area of research. It accomplishes both these things while providing a rationale for why the reader ought to be interested in learning about fractional calculus. This book is for researchers who has heard about many of these scientifically exotic activities, but could not see how they fit into their own scientific interests, or how they could be made compatible with the way they understand science. It is also for beginners who have not yet decided where their scientific talents could be most productively applied. The book provides insight into the long-term direction of science and show how to develop the skills necessary to successfully do research in the twenty-first century.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Nomenclature
The Challenge of Complexity
Little Science, Big Science
Complexity
Chapter Overviews
After Thoughts
Yesterday's Science
Simple Linearity
Complicated Linearity
Nonlinear Dynamics
After Thoughts
Appendix Chapter 2
New Ways of Thinking
Why Now?
Through the Looking Glass
Non-differentiablity can be Physical
The size effect
After Thoughts
Simple Fractional Operators
Random Walks
Fractional Derivatives
Fractional Rate Equations
After Thoughts
Tomorrow’s Dynamics
What We Think We Know; Linear Systems
126
5.2
Fractional Linear System
Applications of FLE
Control of Complexity
Fractional Logistic Equation
Fractional Leibniz Rule
After Thoughts
Appendix Chapter 5
Fractional Cooperation
HRV and Lévy Statistics
Fractional Wave Equations
Turbulence
Fractional Magnetization Equations
Fractional Search Hypothesis
The Network Effect
After Thoughts
Strange Statistics
Fractional Hamiltonian Formalism
Anomalous Transport
Fractional Fokker-Planck Equation
Fractional Sturm-Liouville Theory
Fractional Kinetics Equation
Physiology and Complexity Loss
Diffusion Entropy
After Thoughts
Appendices Chapter 7
What have we learned?
Why the fractional calculus?
Conformation Bias and Scientific Truth
Final Thoughts
