國立高雄大學圖資館 |

Language: English

Back

Constructive fractional analysis wit...

Anastassiou, George A.

Constructive fractional analysis with applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Constructive fractional analysis with applicationsby George A. Anastassiou.
Author:	Anastassiou, George A.
Published:	Cham :Springer International Publishing :2021.
Description:	xv, 522 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fractional calculus.
Online resource:	https://doi.org/10.1007/978-3-030-71481-9
ISBN:	9783030714819$q(electronic bk.)

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.3..

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$q(electronic bk.)

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

208302
Fractional calculus.

LC Class. No.: QA314

Dewey Class. No.: 515.83

Constructive fractional analysis with applications
LDR:03153nmm a2200337 a 4500 001 599638
003 DE-He213
005 20210713132047.0
006 m d
007 cr nn 008maaau
008 211027s2021 sz s 0 eng d
020 $a 9783030714819$q(electronic bk.)
020 $a 9783030714802$q(paper)
024 7 $a 10.1007/978-3-030-71481-9 $2 doi
035 $a 978-3-030-71481-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA314
072 7 $a UYQ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a UYQ $2 thema
082 0 4 $a 515.83 $2 23
090 $a QA314 $b .A534 2021
100 1 $a Anastassiou, George A. $3 281040
245 1 0 $a Constructive fractional analysis with applications $h [electronic resource] / $c by George A. Anastassiou.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xv, 522 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in systems, decision and control, $x 2198-4182 ; $v v.362
505 0 $a 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.
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.
650 0 $a Fractional calculus. $3 208302
650 1 4 $a Computational Intelligence. $3 338479
650 2 4 $a Complex Systems. $3 558544
650 2 4 $a Algorithm Analysis and Problem Complexity. $3 273702
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Studies in systems, decision and control ; $v v.3. $3 678532
856 4 0 $u https://doi.org/10.1007/978-3-030-71481-9
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)