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  • © 2018

Functional Numerical Methods: Applications to Abstract Fractional Calculus

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 130)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-x
  2. Convergence of Iterative Methods in Abstract Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 21-39
  3. Equations for Banach Space Valued Functions in Fractional Vector Calculi

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 41-57
  4. Iterative Methods in Abstract Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 59-72
  5. Semi-local Convergence in Right Abstract Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 73-86
  6. Algorithmic Convergence in Abstract g-Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 87-104
  7. Iterative Procedures for Solving Equations in Abstract Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 105-120
  8. Approximate Solutions of Equations in Abstract g-Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 121-137
  9. Generating Sequences for Solving in Abstract g-Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 139-153
  10. Numerical Optimization and Fractional Invexity

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 155-161

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.

Authors and Affiliations

  • Department of Mathematical Sciences, 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