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Constructive fractional analysis wit...

Anastassiou, George A.

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Constructive fractional analysis with applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Constructive fractional analysis with applications/ by George A. Anastassiou.
作者:	Anastassiou, George A.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xv, 522 p. :ill., digital ;24 cm.
內容註:	Variable order general fractional integral inequalitie -- Variable order fractional integral inequalities for spherical shell -- Left fractional integral inequalities of E.R. Love type -- Right side fractional integral inequalities of E.R. Love type -- General fractional Landau inequalities -- Abstract fractional Landau inequalities -- Fractional Landau inequalities of Riemann-Liouville type -- Generalized Canavati fractional Landau inequalities -- Sequential left abstract fractional Landau inequalities -- Iterated left abstract generalized fractional Landau inequalities.
Contained By:	Springer Nature eBook
標題:	Fractional calculus. -
電子資源:	https://doi.org/10.1007/978-3-030-71481-9
ISBN:	9783030714819

Constructive fractional analysis with applications
Anastassiou, George A.

Constructive fractional analysis with applications[electronic resource] /by George A. Anastassiou. - Cham :Springer International Publishing :2021. - xv, 522 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v.3622198-4182 ;. - Studies in systems, decision and control ;v.362..

Variable order general fractional integral inequalitie -- Variable order fractional integral inequalities for spherical shell -- Left fractional integral inequalities of E.R. Love type -- Right side fractional integral inequalities of E.R. Love type -- General fractional Landau inequalities -- Abstract fractional Landau inequalities -- Fractional Landau inequalities of Riemann-Liouville type -- Generalized Canavati fractional Landau inequalities -- Sequential left abstract fractional Landau inequalities -- Iterated left abstract generalized fractional Landau inequalities.

This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integrals. Constructive and Computational Fractional Analysis recently is more and more in the center of mathematics because of their great applications in the real world. In this book, all presented is original work by the author given at a very general level to cover a maximum number of cases in various applications. The author applies generalized fractional differentiation techniques of Riemann-Liouville, Caputo and Canavati types and of fractional variable order to various kinds of inequalities such as of Opial, Hardy, Hilbert-Pachpatte and on the spherical shell. He continues with E. R. Love left- and right-side fractional integral inequalities. They follow fractional Landau inequalities, of left and right sides, univariate and multivariate, including ones for Semigroups. These are developed to all possible directions, and right-side multivariate fractional Taylor formulae are proven for the purpose. It continues with several Gronwall fractional inequalities of variable order. This book results are expected to find applications in many areas of pure and applied mathematics. As such this book is suitable for researchers, graduate students and seminars of the above disciplines, also to be in all science and engineering libraries.

ISBN: 9783030714819

Standard No.: 10.1007/978-3-030-71481-9doiSubjects--Topical Terms:

898980
Fractional calculus.

LC Class. No.: QA314

Dewey Class. No.: 515.83

Constructive fractional analysis with applications
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520 $a This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integrals. Constructive and Computational Fractional Analysis recently is more and more in the center of mathematics because of their great applications in the real world. In this book, all presented is original work by the author given at a very general level to cover a maximum number of cases in various applications. The author applies generalized fractional differentiation techniques of Riemann-Liouville, Caputo and Canavati types and of fractional variable order to various kinds of inequalities such as of Opial, Hardy, Hilbert-Pachpatte and on the spherical shell. He continues with E. R. Love left- and right-side fractional integral inequalities. They follow fractional Landau inequalities, of left and right sides, univariate and multivariate, including ones for Semigroups. These are developed to all possible directions, and right-side multivariate fractional Taylor formulae are proven for the purpose. It continues with several Gronwall fractional inequalities of variable order. This book results are expected to find applications in many areas of pure and applied mathematics. As such this book is suitable for researchers, graduate students and seminars of the above disciplines, also to be in all science and engineering libraries.
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