Functional Numerical Methods: Applications to Abstract Fractional Calculus

  • George A. Anastassiou
  • Ioannis K. Argyros

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

Table of contents

  1. Front Matter
    Pages i-x
  2. George A. Anastassiou, Ioannis K. Argyros
    Pages 21-39
  3. George A. Anastassiou, Ioannis K. Argyros
    Pages 41-57
  4. George A. Anastassiou, Ioannis K. Argyros
    Pages 59-72
  5. George A. Anastassiou, Ioannis K. Argyros
    Pages 73-86
  6. George A. Anastassiou, Ioannis K. Argyros
    Pages 87-104
  7. George A. Anastassiou, Ioannis K. Argyros
    Pages 105-120
  8. George A. Anastassiou, Ioannis K. Argyros
    Pages 121-137
  9. George A. Anastassiou, Ioannis K. Argyros
    Pages 139-153
  10. George A. Anastassiou, Ioannis K. Argyros
    Pages 155-161

About this book

Introduction

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.

Keywords

Fractional Numerical Methods Fractional Calculus Banach Space Abstract Fractional Calculus G-fractional Calculus

Authors and affiliations

  • George A. Anastassiou
    • 1
  • Ioannis K. Argyros
    • 2
  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA
  2. 2.Department of Mathematical SciencesCameron UniversityLawtonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-69526-6
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-69525-9
  • Online ISBN 978-3-319-69526-6
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • About this book