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Titlebook: Generalized Fractional Calculus; New Advancements and George A. Anastassiou Book 2021 The Editor(s) (if applicable) and The Author(s), unde

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发表于 2025-3-21 20:06:49 | 显示全部楼层 |阅读模式
书目名称Generalized Fractional Calculus
副标题New Advancements and
编辑George A. Anastassiou
视频video
概述Presents recent research and applications on generalized fractional calculus.Applies generalized fractional differentiation techniques of Caputo, Canavati, and Conformable types to a great variety of
丛书名称Studies in Systems, Decision and Control
图书封面Titlebook: Generalized Fractional Calculus; New Advancements and George A. Anastassiou Book 2021 The Editor(s) (if applicable) and The Author(s), unde
描述.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 ar
出版日期Book 2021
关键词Fractional Calculus; Generalized Fractional Calculus; Fractional Differentiation; Stochastic Fractional
版次1
doihttps://doi.org/10.1007/978-3-030-56962-4
isbn_softcover978-3-030-56964-8
isbn_ebook978-3-030-56962-4Series ISSN 2198-4182 Series E-ISSN 2198-4190
issn_series 2198-4182
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 23:07:04 | 显示全部楼层
Diseases of the Digestive Systemractional differentiability. Our study is based on our generalized fractional results about positive sublinear operators. We derive Jackson type inequalities under iterated initial conditions. So our approach is quantitative by producing inequalities with their right hand sides involving the modulus
发表于 2025-3-22 02:54:54 | 显示全部楼层
Roberto Formigari,Micol Rebonatoterated fractional differentiability. Our work is based on our generalized .-iterated fractional results about positive sublinear operators. We produce Jackson type inequalities under iterated initial conditions. So our approach is quantitative by deriving inequalities with their right hand sides in
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发表于 2025-3-22 11:10:59 | 显示全部楼层
Congenital Anomalies of the Penisgeneralized and iterated left and right: fractional Poincaré type inequalities, fractional Opial type inequalities and fractional Hilbert–Pachpatte inequalities. All these inequalities are very general having in their background Bochner type integrals. See also[.].
发表于 2025-3-22 12:58:53 | 显示全部楼层
Hilton P. Gottschalk,Michael S. Bednarlts are pointwise estimates with rates. To prove our main results we use an elegant and natural boundedness property of our linear operators by their companion positive linear operators. Our inequalities are generalized .-direct and iterated fractional involving the right and left vector Caputo type
发表于 2025-3-22 19:19:38 | 显示全部楼层
Chris Stutz M.D.,Scott Oishi M.D.tself. We assume that these are bounded by companion positive linear operators from . into itself. We study quantitatively the rate of convergence of the approximation and high order approximation of these multivariate complex operators to the unit operators. Our results are inequalities of Korovkin
发表于 2025-3-23 00:55:18 | 显示全部楼层
Shadi Tabibian,Rodney M. Camires functions. These are acting on the space of real fractionally differentiable stochastic processes. Under some very mild, general and natural assumptions on the stochastic processes we produce related fractional stochastic Shisha-Mond type inequalities of .-type . and corresponding fractional stoch
发表于 2025-3-23 04:15:09 | 显示全部楼层
Akbar Dorgalaleh,Majid Naderi,Majid Safaus functions in the trigonometric sense. These are acting on the space of real fractionally differentiable stochastic processes. Under some very mild, general and natural assumptions on the stochastic processes we produce related trigonometric fractional stochastic Shisha-Mond type inequalities of .
发表于 2025-3-23 05:43:32 | 显示全部楼层
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