Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
Published on 15. August 2018
Book
Paperback/Softback
X, 319 pages
978-3-319-88349-6 (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
Softcover reprint of the original 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: 23.5 cm
Width: 15.5 cm
Weight
510 gr
ISBN-13
978-3-319-88349-6 (9783319883496)
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
09/2017
Springer
€106.99
Shipment within 10-15 days
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.