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Abstract Fractional Monotone Approximation, Theory and Applications

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  • Employs abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi

  • Presents abstract fractional monotone approximation by polynomials and splines

  • Gives abstract fractional monotone constrained approximations by bivariate pseudo-polynomials

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 411)

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  • ISBN: 978-3-030-95943-2
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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xii
  2. Basic Abstract Fractional Monotone Approximation

    • George A. Anastassiou
    Pages 1-22
  3. Advanced Abstract Fractional Monotone Approximation

    • George A. Anastassiou
    Pages 23-46
  4. Spline Abstract Fractional Monotone Approximation

    • George A. Anastassiou
    Pages 47-71
  5. Back Matter

    Pages 145-145

About this book

This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional approximation and fractional differential equations. Other interesting applications are applied in sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.

Keywords

  • Abstract Fractional Monotone Approximation
  • Fractional Monotone Approximation
  • Fractional Calculus
  • Fractional Approximation
  • Fractional Differential Equation

Authors and Affiliations

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

    George A. Anastassiou

Bibliographic Information

Buying options

eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-95943-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book
USD 149.99
Price excludes VAT (USA)