Overview
- Introduces Fractional Calculus in an accessible manner, based on standard integer calculus;
- Supports the use of higher-level mathematical packages, such as Mathematica or Maple;
- Facilitates understanding the generalization (towards Fractional Calculus) of important models and systems, such as Lorenz, Chua, and many others;
- Provides a simultaneous introduction to analytical and numerical methods in Fractional Calculus.
Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 25)
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Table of contents (6 chapters)
Keywords
About this book
This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods.
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Bibliographic Information
Book Title: Introduction to Fractional Differential Equations
Authors: Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado
Series Title: Nonlinear Systems and Complexity
DOI: https://doi.org/10.1007/978-3-030-00895-6
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-00894-9Published: 07 November 2018
Softcover ISBN: 978-3-030-13153-1Published: 10 December 2019
eBook ISBN: 978-3-030-00895-6Published: 28 October 2018
Series ISSN: 2195-9994
Series E-ISSN: 2196-0003
Edition Number: 1
Number of Pages: XIII, 188
Number of Illustrations: 3 b/w illustrations, 29 illustrations in colour
Topics: Engineering Mathematics, Calculus of Variations and Optimal Control; Optimization, Integral Transforms, Operational Calculus, Complexity