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Studies in Systems, Decision and Control

Functional Numerical Methods: Applications to Abstract Fractional Calculus

Authors: Anastassiou, George A., Argyros, Ioannis K.

  • Presents applications of Newton-like and other similar methods for solving abstract functional equations involving abstract Caputo and Canavati-type fractional derivatives 
  • The first-ever book to study Banach space-valued functions of a real domain 
  • Self-contained chapters can be read independently
  • Starts each chapter with a section of prerequisites for the abstract fractional calculus applications in the final section
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eBook $109.00
price for Mexico (gross)
  • ISBN 978-3-319-69526-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for Mexico
  • ISBN 978-3-319-69525-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain – studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to grow in popularity, and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas – including decision-making, complex processes, systems modeling and control – and deeply embedded in the fields of engineering, computer science, physics, economics, and the social and life sciences. The book offers a valuable resource for researchers and graduate students, and can also be used as a textbook for seminars on the above-mentioned subjects. All chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references.

Table of contents (10 chapters)

  • Explicit-Implicit Methods with Applications to Banach Space Valued Functions in Abstract Fractional Calculus

    Anastassiou, George A. (et al.)

    Pages 1-19

  • Convergence of Iterative Methods in Abstract Fractional Calculus

    Anastassiou, George A. (et al.)

    Pages 21-39

  • Equations for Banach Space Valued Functions in Fractional Vector Calculi

    Anastassiou, George A. (et al.)

    Pages 41-57

  • Iterative Methods in Abstract Fractional Calculus

    Anastassiou, George A. (et al.)

    Pages 59-72

  • Semi-local Convergence in Right Abstract Fractional Calculus

    Anastassiou, George A. (et al.)

    Pages 73-86

Buy this book

eBook $109.00
price for Mexico (gross)
  • ISBN 978-3-319-69526-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for Mexico
  • ISBN 978-3-319-69525-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Functional Numerical Methods: Applications to Abstract Fractional Calculus
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
130
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-69526-6
DOI
10.1007/978-3-319-69526-6
Hardcover ISBN
978-3-319-69525-9
Series ISSN
2198-4182
Edition Number
1
Number of Pages
X, 161
Topics