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Numerical Methods for Fractional Differentiation

  • Kolade M. Owolabi
  • Abdon Atangana
Book

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 54)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Kolade M. Owolabi, Abdon Atangana
    Pages 1-82
  3. Kolade M. Owolabi, Abdon Atangana
    Pages 83-137
  4. Kolade M. Owolabi, Abdon Atangana
    Pages 139-160
  5. Kolade M. Owolabi, Abdon Atangana
    Pages 161-173
  6. Kolade M. Owolabi, Abdon Atangana
    Pages 175-194
  7. Kolade M. Owolabi, Abdon Atangana
    Pages 195-201
  8. Kolade M. Owolabi, Abdon Atangana
    Pages 203-249
  9. Kolade M. Owolabi, Abdon Atangana
    Pages 251-328

About this book

Introduction

This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral operators presented in the book include those with exponential decay law, known as Caputo–Fabrizio differential and integral operators, those with power law, known as Riemann–Liouville fractional operators, and those for the generalized Mittag–Leffler function, known as the Atangana–Baleanu fractional operators. 

The book reviews existing numerical schemes associated with fractional operators including those with power law, while also highlighting new trends in numerical schemes for recently introduced differential and integral operators. In addition, the initial chapters address useful properties of each differential and integral fractional operator. Methods discussed in the book are subsequently used to solved problems arising in many fields of science, technology, and engineering, including epidemiology, chaos, solitons, fractals, diffusion, groundwater, and fluid mechanics. Given its scope, the book offers a valuable resource for graduate students of mathematics and engineering, and researchers in virtually all fields of science, technology, and engineering, as well as an excellent addition to libraries.

Keywords

Fractional differential equations Fractional integral equation Partial differential equations Ordinary differential equations Chaotic models Epidemiology

Authors and affiliations

  • Kolade M. Owolabi
    • 1
  • Abdon Atangana
    • 2
  1. 1.Institute for Groundwater StudiesUniversity of the Free StateBloemfonteinSouth Africa
  2. 2.Institute for Groundwater StudiesUniversity of the Free StateBloemfonteinSouth Africa

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-15-0098-5
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-15-0097-8
  • Online ISBN 978-981-15-0098-5
  • Series Print ISSN 0179-3632
  • Series Online ISSN 2198-3712
  • Buy this book on publisher's site
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