• Title: Fractional Calculus: Theory and Applications
• Author(s) Keith B. Oldham and Jerome Spanier
• Publisher: Mdpi AG (2022); eBook (Creative Commons Licensed)
• License(s): Creative Commons License (CC)
• Paperback: 198 pages
• eBook: PDF
• Language: English
• ASIN/ISBN-10: 3036532625
• ISBN-13: 978-3036532622
• Share This:  

Book Description

Fractional Calculus has led to tremendous progress in various areas of science and mathematics. New definitions of fractional derivatives and integrals have been uncovered, extending their classical definitions in various ways.

• N/A

• Amazon

• Calculus and Mathematical Analysis
• Fractal Geometry and Fractals
• Geometry and Topology
• Differential Equations and Dynamical Systems

• Fractional Calculus: Theory and Applications (Jorge E Macías Díaz)
• The Mirror Site (1) - PDF
• The Mirror Site (2) - PDF

• The Fractional Calculus: Theory and Applications

  Not only does it explain the theory (Fractional Calculus) underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied.

• Special Functions: Fractional Calculus and the Pathway for Entropy

  This book deals with the connection between entropy, probability, and fractional dynamics as they appeared, for example, in solar neutrino astrophysics. This analysis revealed a non-Gaussian signal with harmonic content.

• Fractal Geometry: Mathematical Foundations and Applications

  This book has become a seminal text on the mathematics of Fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines.

• Fractal Geometry (Mark McClure, et al.)

  Fractal geometry is a new way of looking at the world. This book combines text and graphics to offer the most accessible amount that any reader is likely to find, helping in the overall move toward scientific literacy.

• A Tale of Two Fractals (A.A. Kirillov)

  This book provides an original treatment of Fractals that is at once accessible to beginners and sufficiently rigorous for serious mathematicians. It is designed to give young, non-specialist mathematicians a solid foundation in the theory of fractals.

• Fractals in Probability and Analysis (Christopher J. Bishop, et al.)

  This is a mathematically rigorous introduction to Fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability. Chapters are designed to be read independently.

• Strange Attractors: Creating Patterns in Chaos (Julien C. Sprott)

  This book describes a simple method for generating an endless succession of beautiful Fractal patterns by iterating simple maps and ordinary differential equations with coefficients chosen automatically by the computer.

• Conformal Fractals: Ergodic Theory Methods (Feliks Przytycki, ...)

  This is a one-stop introduction to the methods of Ergodic Theory applied to holomorphic iteration. Focus on the field of 1-dimensional holomorphic iterations and underlying Fractal sets, from the point of view of geometric measure theory and rigidity.

• Chaos and Fractals (Larry Bradley)

  This book provides the reader with an elementary introduction to Chaos and Fractals, suitable for readers with a background in elementary algebra, without assuming prior coursework in calculus or physics.

• Random Fractals (Peter Morters)

  Random Fractals are the method of choice when it comes to modelling landscapes, clouds and other natural phenomena. Describes the fundamentals of random fractals and some of the basic methods for their generation.

• The Fractal Geometry of Nature (Benoit Mandelbrot)

  Explore the wondrously complex repeating shapes of the natural world in The Fractal Geometry of Nature. Written in a style that is accessible to a wide audience, computer scientist, professor, mathematician, etc.