Functional Numerical Methods: Applications to Abstract Fractional Calculus
Published on 6. November 2017
Book
Hardback
X, 161 pages
978-3-319-69525-9 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
X, 161 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 16 mm
Weight
430 gr
ISBN-13
978-3-319-69525-9 (9783319695259)
DOI
10.1007/978-3-319-69526-6
Schweitzer Classification
Other editions
Additional editions
George A. Anastassiou | Ioannis K. Argyros
Functional Numerical Methods: Applications to Abstract Fractional Calculus
Book
08/2018
Springer
€106.99
Shipment within 10-15 days
George A. Anastassiou | Ioannis K. Argyros
Functional Numerical Methods: Applications to Abstract Fractional Calculus
E-Book
10/2017
Springer
€96.29
Available for download
Persons
George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including "Fractional Differentiation Inequalities" (c) 2009, "Fuzzy Mathematics: Approximation Theory" (c) 2010, "Intelligent Systems: Approximation by Artificial Neural Networks" (c) 2014, "The History of Approximation Theory" (c) 2005, "Modern Differential Geometry in Gauge Theories" (c) 2006, and more.
Razvan Alex Mezei received his PhD from the University of Memphis and currently holds an assistant professorship and Lenoir-Rhyne University, Hickory, North Carolina. He teaches mathematics as well as computer science/IT courses to undergraduates and is a computing sciences program coordinator. Mezei has extensive experience in computer programming and software development and has written several publications with George Anastassiou.
Content
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.