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© 2016

Intelligent Numerical Methods: Applications to Fractional Calculus

Benefits

  • Presents recent original research in numerical analysis and fractional calculus

  • Provides self-contained chapters, each with an extensive list of references

  • Presents Newton-like and other similar numerical methods, involving fractional derivatives and fractional integral operators

Book

Part of the Studies in Computational Intelligence book series (SCI, volume 624)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. George A. Anastassiou, Ioannis K. Argyros
    Pages 1-21
  3. George A. Anastassiou, Ioannis K. Argyros
    Pages 23-37
  4. George A. Anastassiou, Ioannis K. Argyros
    Pages 39-56
  5. George A. Anastassiou, Ioannis K. Argyros
    Pages 57-74
  6. George A. Anastassiou, Ioannis K. Argyros
    Pages 75-93
  7. George A. Anastassiou, Ioannis K. Argyros
    Pages 95-106
  8. George A. Anastassiou, Ioannis K. Argyros
    Pages 107-125
  9. George A. Anastassiou, Ioannis K. Argyros
    Pages 149-162
  10. George A. Anastassiou, Ioannis K. Argyros
    Pages 163-175
  11. George A. Anastassiou, Ioannis K. Argyros
    Pages 177-196
  12. George A. Anastassiou, Ioannis K. Argyros
    Pages 197-214
  13. George A. Anastassiou, Ioannis K. Argyros
    Pages 215-230
  14. George A. Anastassiou, Ioannis K. Argyros
    Pages 231-243
  15. George A. Anastassiou, Ioannis K. Argyros
    Pages 245-262
  16. George A. Anastassiou, Ioannis K. Argyros
    Pages 263-281
  17. George A. Anastassiou, Ioannis K. Argyros
    Pages 283-296
  18. George A. Anastassiou, Ioannis K. Argyros
    Pages 297-307
  19. George A. Anastassiou, Ioannis K. Argyros
    Pages 309-316

About this book

Introduction

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function.

Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book. An extensive list of references is given per chapter. The book’s results are expected to find applications in many areas of applied mathematics, stochastics, computer science and engineering. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also to be in all science and engineering libraries.

Keywords

Computational Intelligence Intelligent Systems Intelligent Numerical Methods Fractional Calculus Numerical Analysis

Authors and affiliations

  1. 1.Department of Mathematical SciencesThe University of MemphisMemphisUSA
  2. 2.Department of Mathematical SciencesCameron UniversityLawtonUSA

Bibliographic information

  • Book Title Intelligent Numerical Methods: Applications to Fractional Calculus
  • Authors George A. Anastassiou
    Ioannis K. Argyros
  • Series Title Studies in Computational Intelligence
  • Series Abbreviated Title Studies Comp.Intelligence
  • DOI https://doi.org/10.1007/978-3-319-26721-0
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-26720-3
  • Softcover ISBN 978-3-319-80003-5
  • eBook ISBN 978-3-319-26721-0
  • Series ISSN 1860-949X
  • Series E-ISSN 1860-9503
  • Edition Number 1
  • Number of Pages XVI, 423
  • Number of Illustrations 0 b/w illustrations, 2 illustrations in colour
  • Topics Computational Intelligence
    Artificial Intelligence
    Computational Science and Engineering
    Complexity
  • Buy this book on publisher's site
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