George A. Anastassiou

Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 319
• Erscheinungstermin: 2. September 2017
• Englisch
• ISBN-13: 9783319669366
• Artikelnr.: 52943104

Inhaltsangabe

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.

Rezensionen

"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)