Skip to main content
SpringerLink
Log in

Functional Numerical Methods: Applications to Abstract Fractional Calculus

  • Book
  • © 2018

Overview

Authors:
  1. George A. Anastassiou

    1. Department of Mathematical Sciences, University of Memphis, Memphis, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Ioannis K. Argyros

    1. Department of Mathematical Sciences, Cameron University, Lawton, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

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

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 1-19

  3. Convergence of Iterative Methods in Abstract Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 21-39

  4. Equations for Banach Space Valued Functions in Fractional Vector Calculi

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 41-57

  5. Iterative Methods in Abstract Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 59-72

  6. Semi-local Convergence in Right Abstract Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 73-86

  7. Algorithmic Convergence in Abstract g-Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 87-104

  8. Iterative Procedures for Solving Equations in Abstract Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 105-120

  9. Approximate Solutions of Equations in Abstract g-Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 121-137

  10. Generating Sequences for Solving in Abstract g-Fractional Calculus

    • George A. Anastassiou, Ioannis K. Argyros
    Pages 139-153

  11. Numerical Optimization and Fractional Invexity

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

Keywords

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

Publish with us

Policies and ethics

Back to top

Search

Navigation