Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
Published on 12. September 2017
Book
Hardback
X, 319 pages
978-3-319-66935-9 (ISBN)
Description
Includes recent original research on abstract fractional calculus, inequalities, and approximations Presents the strong left and right calculus for Banach space valued functions Offers a valuable resource for researchers and graduate students alike
Reviews / Votes
"In this brief monograph the author presents a strong theory of abstract fractional calculus for Banach-valued functions in which the integrals used to define the fractional derivatives are Bochner type integrals. His presentation includes left and right Caputo type and Canavati type fractional derivatives. . Each chapter is self-contained and can be read independently and, moreover, the monograph is suitable for the use in related graduate Classes." (Mathematical Reviews, August, 2018)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, 319 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 24 mm
Weight
664 gr
ISBN-13
978-3-319-66935-9 (9783319669359)
DOI
10.1007/978-3-319-66936-6
Schweitzer Classification
Other editions
Additional editions
George A. Anastassiou
Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
Book
08/2018
Springer
€106.99
Article exhausted; check different version
George A. Anastassiou
Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
E-Book
09/2017
Springer
€96.29
Available for download
Person
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
A strong left Fractional Calculus for Banach space valued functions.- Strong Right Abstract Fractional Calculus.- Strong mixed and generalized Abstract Fractional Calculus.- Foundations of General Fractional Analysis for Banach space valued functions.- Vector abstract fractional Korovkin Approximation.- Basic Abstract Korovkin theory.- High Approximation for Banach space valued functions.- Vectorial abstract fractional approximation using linear operators.- Abstract fractional trigonometric Korovkin approximation.- Multivariate Abstract Approximation for Banach space valued functions.- Arctangent function based Abstract Neural Network approximation.