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  • Book
  • © 2016

Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

  • Presents recent original research of the authors in Numerical Analysis and Fractional Calculus
  • The chapters are self-contained and can be read independently including an extensive list of references per chapter
  • Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, involvingCaputo type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville integral operators
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xii
  2. Fixed Point Results and Their Applications in Right Multivariate Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 17-30
  3. Newton-Like Procedures and Their Applications in Multivariate Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 51-62
  4. Implicit Iterative Algorithms and Their Applications in Multivariate Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 63-70
  5. Extending the Convergence Domain of Newton’s Method

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 83-92
  6. The Left Multidimensional Riemann–Liouville Fractional Integral

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 93-103
  7. The Right Multidimensional Riemann–Liouville Fractional Integral

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 105-116

About this book

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.

Authors and Affiliations

  • Department of Mathematical Sciences, The University of Memphis, Memphis, USA

    George A. Anastassiou

  • Department of Mathematical Sciences, Cameron University, Lawton, USA

    Ioannis K. Argyros

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access