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Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

  • George A. Anastassiou
  • Ioannis K. Argyros

Part of the Studies in Computational Intelligence book series (SCI, volume 649)

Table of contents

  1. Front Matter
    Pages i-xii
  2. George A. Anastassiou, Ioannis K. Argyros
    Pages 17-30
  3. George A. Anastassiou, Ioannis K. Argyros
    Pages 51-62
  4. George A. Anastassiou, Ioannis K. Argyros
    Pages 63-70
  5. George A. Anastassiou, Ioannis K. Argyros
    Pages 83-92
  6. George A. Anastassiou, Ioannis K. Argyros
    Pages 93-103
  7. George A. Anastassiou, Ioannis K. Argyros
    Pages 105-116

About this book

Introduction

In this short monograph Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, which involve Caputo type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville integral operators. These are studied for the first time in the literature. The chapters are self-contained and can be read independently. 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 short monograph is suitable for researchers, graduate students, to be used in graduate classes 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/10.1007/978-3-319-33606-0
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-33605-3
  • Online ISBN 978-3-319-33606-0
  • Series Print ISSN 1860-949X
  • Series Online ISSN 1860-9503
  • Buy this book on publisher's site