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 |  |
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 |
doi | https://doi.org/10.1007/978-3-030-56962-4 |
isbn_softcover | 978-3-030-56964-8 |
isbn_ebook | 978-3-030-56962-4Series ISSN 2198-4182 Series E-ISSN 2198-4190 |
issn_series | 2198-4182 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |