Functional numerical methods : applications to abstract fractional calculus /

Functional numerical methods : applications to abstract fractional calculus /

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Bibliographic Details
Author / Creator:Anastassiou, George A., 1952- author.
Imprint:Cham, Switzerland : Springer, [2018]
©2018
Description:1 online resource
Language:English
Series:Studies in systems, decision and control ; volume 130
Studies in systems, decision and control ; . 130.
Subject:
Fractional calculus.
Numerical analysis.
Functional analysis.
Fractional calculus.
Functional analysis.
Numerical analysis.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11542173
Hidden Bibliographic Details
Other authors / contributors:Argyros, Ioannis K., author.
ISBN:9783319695266
3319695266
9783319695259
3319695258
9783319695259
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
Online resource; title from PDF title page (EBSCO, viewed November 3, 2017).
Summary:"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."--
Other form:Printed edition: 9783319695259
Standard no.:10.1007/978-3-319-69526-6
Table of Contents:
  • Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus
  • Convergence of Iterative methods in abstract fractional calculus
  • Equations for Banach space valued functions in fractional vector calculi
  • Iterative methods in abstract fractional calculus
  • Semi-local convergence in right abstract fractional calculus
  • Algorithmic convergence in abstract g-fractional calculus
  • Iterative procedures for solving equations in abstract fractional calculus
  • Approximate solutions of equations in abstract g-fractional calculus
  • Generating sequences for solving in abstract g-fractional calculus
  • Numerical Optimization and fractional invexity.

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