Milici / Draganescu / Tenreiro Machado

Introduction to Fractional Differential Equations

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eBook. PDF

eBook

2018

188 S. XIII, 188 p. 32 illus., 29 illus. in color..

In englischer Sprache

Springer International Publishing. ISBN 978-3-030-00895-6

Das Werk ist Teil der Reihe: Nonlinear Systems and Complexity

Produktbeschreibung

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.

  • 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

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