東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Unification of fractional calculi wi...

Anastassiou, George A.

Linked to FindBook

Google Book

Amazon

博客來

Unification of fractional calculi with applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Unification of fractional calculi with applications/ by George A. Anastassiou.
Author:	Anastassiou, George A.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xi, 419 p. :ill., digital ;24 cm.
[NT 15003449]:	Progress on generalized Hilfer fractional calculus and fractional integral inequalities -- Landau Generalized Hilfer fractional inequalities -- Iyengar-Hilfer generalized fractional inequalities -- Generalized Hilfer-Polya, Hilfer-Ostrowski and Hilfer-Hilbert-Pachpatte fractional inequalities -- Generalized Hilfer Fractional Approximation of Csiszar's f-Divergence -- Generalized Hilfer fractional self-adjoint operator inequalities -- Essential forward and reverse generalized Hilfer-Hardy fractional inequalities -- Principles of Generalized Prabhakar-Hilfer fractional Calculus and Applications.
Contained By:	Springer Nature eBook
Subject:	Fractional calculus. -
Online resource:	https://doi.org/10.1007/978-3-030-86920-5
ISBN:	9783030869205

Unification of fractional calculi with applications
Anastassiou, George A.

Unification of fractional calculi with applications[electronic resource] /by George A. Anastassiou. - Cham :Springer International Publishing :2022. - xi, 419 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v. 3982198-4190 ;. - Studies in systems, decision and control ;v. 398..

Progress on generalized Hilfer fractional calculus and fractional integral inequalities -- Landau Generalized Hilfer fractional inequalities -- Iyengar-Hilfer generalized fractional inequalities -- Generalized Hilfer-Polya, Hilfer-Ostrowski and Hilfer-Hilbert-Pachpatte fractional inequalities -- Generalized Hilfer Fractional Approximation of Csiszar's f-Divergence -- Generalized Hilfer fractional self-adjoint operator inequalities -- Essential forward and reverse generalized Hilfer-Hardy fractional inequalities -- Principles of Generalized Prabhakar-Hilfer fractional Calculus and Applications.

This book demonstrates the unifying methods of generalized versions of Hilfer, Prabhakar and Hilfer-Prabhakar fractional calculi, and we establish related unifying fractional integral inequalities of the following types: Iyengar, Landau, Polya, Ostrowski, Hilbert-Pachpatte, Hardy, Opial, Csiszar's f-Divergence, self-adjoint operator and related to fuzziness. Our results are univariate and multivariate. This book's results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications can be in applied sciences like geophysics, physics, chemistry, economics and engineering. This book is appropriate for researchers, graduate students, practitioners and seminars of the above disciplines, also to be in all science and engineering libraries.

ISBN: 9783030869205

Standard No.: 10.1007/978-3-030-86920-5doiSubjects--Topical Terms:

898980
Fractional calculus.

LC Class. No.: QA314 / .A53 2022

Dewey Class. No.: 515.83

Unification of fractional calculi with applications
LDR:02518nmm a2200337 a 4500 001 2296071
003 DE-He213
005 20211121090256.0
006 m d
007 cr nn 008maaau
008 230324s2022 sz s 0 eng d
020 $a 9783030869205 $q (electronic bk.)
020 $a 9783030869199 $q (paper)
024 7 $a 10.1007/978-3-030-86920-5 $2 doi
035 $a 978-3-030-86920-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA314 $b .A53 2022
072 7 $a TBJ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a TBJ $2 thema
082 0 4 $a 515.83 $2 23
090 $a QA314 $b .A534 2022
100 1 $a Anastassiou, George A. $3 1006424
245 1 0 $a Unification of fractional calculi with applications $h [electronic resource] / $c by George A. Anastassiou.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xi, 419 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in systems, decision and control, $x 2198-4190 ; $v v. 398
505 0 $a Progress on generalized Hilfer fractional calculus and fractional integral inequalities -- Landau Generalized Hilfer fractional inequalities -- Iyengar-Hilfer generalized fractional inequalities -- Generalized Hilfer-Polya, Hilfer-Ostrowski and Hilfer-Hilbert-Pachpatte fractional inequalities -- Generalized Hilfer Fractional Approximation of Csiszar's f-Divergence -- Generalized Hilfer fractional self-adjoint operator inequalities -- Essential forward and reverse generalized Hilfer-Hardy fractional inequalities -- Principles of Generalized Prabhakar-Hilfer fractional Calculus and Applications.
520 $a This book demonstrates the unifying methods of generalized versions of Hilfer, Prabhakar and Hilfer-Prabhakar fractional calculi, and we establish related unifying fractional integral inequalities of the following types: Iyengar, Landau, Polya, Ostrowski, Hilbert-Pachpatte, Hardy, Opial, Csiszar's f-Divergence, self-adjoint operator and related to fuzziness. Our results are univariate and multivariate. This book's results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications can be in applied sciences like geophysics, physics, chemistry, economics and engineering. This book is appropriate for researchers, graduate students, practitioners and seminars of the above disciplines, also to be in all science and engineering libraries.
650 0 $a Fractional calculus. $3 898980
650 1 4 $a Engineering Mathematics. $3 3301900
650 2 4 $a Complexity. $3 893807
650 2 4 $a Control and Systems Theory. $3 3381515
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Studies in systems, decision and control ; $v v. 398. $3 3590404
856 4 0 $u https://doi.org/10.1007/978-3-030-86920-5
950 $a Engineering (SpringerNature-11647)