Generalized Fractional Calculus

This book PDF is perfect for those who love Technology & Engineering genre, written by George A. Anastassiou and published by Springer Nature which was released on 25 November 2020 with total hardcover pages 501. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Generalized Fractional Calculus books below.

Generalized Fractional Calculus
Generalized Fractional Calculus
Author : George A. Anastassiou
File Size : 54,6 Mb
Publisher : Springer Nature
Language : English
Release Date : 25 November 2020
ISBN : 9783030569624
Pages : 501 pages
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Generalized Fractional Calculus by George A. Anastassiou Book PDF Summary

This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact in numerical analysis, stochastics and fractional differential equations. The book continues with generalized fractional approximations by positive sublinear operators which derive from the presented Korovkin type inequalities and also includes abstract cases. It presents also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya types. The results are weighted so they provide a great variety of cases and applications. The second part of the book deals with the quantitative fractional Korovkin type approximation of stochastic processes and lays there the foundations of stochastic fractional calculus. The book considers both Caputo and Conformable fractional directions and derives regular and trigonometric results. The positive linear operators can be expectation operator commutative or not. This book results are expected to find applications in many areas of pure and applied mathematics and stochastics. As such this monograph is suitable for researchers, graduate students, and seminars of the above disciplines, also to be in all science and engineering libraries.

Generalized Fractional Calculus

Generalized Fractional Calculus by George A. Anastassiou

This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact in numerical analysis, stochastics and fractional

Get Book
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