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Intelligent Numerical Methods: Applications to Fractional Calculus

  • George A. Anastassiou
  • Ioannis K. Argyros

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
  20. George A. Anastassiou, Ioannis K. Argyros
    Pages 317-335
  21. George A. Anastassiou, Ioannis K. Argyros
    Pages 337-352
  22. George A. Anastassiou, Ioannis K. Argyros
    Pages 353-372
  23. George A. Anastassiou, Ioannis K. Argyros
    Pages 373-389
  24. George A. Anastassiou, Ioannis K. Argyros
    Pages 391-412
  25. George A. Anastassiou, Ioannis K. Argyros
    Pages 413-420
  26. Back Matter
    Pages 421-423

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

  • George A. Anastassiou
    • 1
  • Ioannis K. Argyros
    • 2
  1. 1.Department of Mathematical SciencesThe University of MemphisMemphisUSA
  2. 2.Department of Mathematical SciencesCameron UniversityLawtonUSA

Bibliographic information

  • 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
  • Print ISBN 978-3-319-26720-3
  • Online ISBN 978-3-319-26721-0
  • Series Print ISSN 1860-949X
  • Series Online ISSN 1860-9503
  • Buy this book on publisher's site
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