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Introduction to Fractional Differential Equations

  • Constantin Milici
  • Gheorghe Drăgănescu
  • J. Tenreiro Machado

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 25)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado
    Pages 1-15
  3. Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado
    Pages 17-31
  4. Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado
    Pages 33-46
  5. Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado
    Pages 47-86
  6. Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado
    Pages 87-120
  7. Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado
    Pages 121-185
  8. Back Matter
    Pages 187-188

About this book

Introduction

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

Keywords

Fractional Calculus Fractional Derivatives Fractional differential equations Maple Mathematica fractional-order methods Mathematical modeling

Authors and affiliations

  • Constantin Milici
    • 1
  • Gheorghe Drăgănescu
    • 2
  • J. Tenreiro Machado
    • 3
  1. 1.Department of MathematicsPolytechnic University of TimişoaraTimişoaraRomania
  2. 2.Research Center in Theoretical PhysicsWest University of TimişoaraTimişoaraRomania
  3. 3.Department of Electrical EngineeringPolytechnic of PortoPortoPortugal

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-00895-6
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-030-00894-9
  • Online ISBN 978-3-030-00895-6
  • Series Print ISSN 2195-9994
  • Series Online ISSN 2196-0003
  • Buy this book on publisher's site