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

Fractional dynamic calculus and frac...

Georgiev, Svetlin G.

Linked to FindBook

Google Book

Amazon

博客來

Fractional dynamic calculus and fractional dynamic equations on time scales

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional dynamic calculus and fractional dynamic equations on time scales/ by Svetlin G. Georgiev.
Author:	Georgiev, Svetlin G.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	viii, 360 p. :ill., digital ;24 cm.
[NT 15003449]:	1. Elements of the Time Scale Calculus -- 2. The Laplace Transform on Time Scales -- 3. The Convolution on Time Scales -- 4. The Riemann-Liouville Fractional D-Integral and the Riemann-Liouville Fractional D-Derivative on Time Scales -- 5. Cauchy Type Problem with the Riemann-Liouville Fractional D-Derivative -- 6. Riemann-Liouville Fractional Dynamic Equations with Constant Coefficients -- 7. The Caputo Fractional D-Derivative on Time Scales -- 8. Cauchy Type Problem with the Caputo Fractional D-Derivative -- 9. Caputo Fractional Dynamic Equations with Constant Coefficients -- Appendix: The Gamma Function -- Appendix: The Gamma Function -- Index.
Contained By:	Springer eBooks
Subject:	Fractional calculus. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-73954-0
ISBN:	9783319739540

Fractional dynamic calculus and fractional dynamic equations on time scales
Georgiev, Svetlin G.

Fractional dynamic calculus and fractional dynamic equations on time scales[electronic resource] /by Svetlin G. Georgiev. - Cham :Springer International Publishing :2018. - viii, 360 p. :ill., digital ;24 cm.

1. Elements of the Time Scale Calculus -- 2. The Laplace Transform on Time Scales -- 3. The Convolution on Time Scales -- 4. The Riemann-Liouville Fractional D-Integral and the Riemann-Liouville Fractional D-Derivative on Time Scales -- 5. Cauchy Type Problem with the Riemann-Liouville Fractional D-Derivative -- 6. Riemann-Liouville Fractional Dynamic Equations with Constant Coefficients -- 7. The Caputo Fractional D-Derivative on Time Scales -- 8. Cauchy Type Problem with the Caputo Fractional D-Derivative -- 9. Caputo Fractional Dynamic Equations with Constant Coefficients -- Appendix: The Gamma Function -- Appendix: The Gamma Function -- Index.

Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems. Beginning with the definitions of forward and backward jump operators, the book builds from Stefan Hilger's basic theories on time scales and examines recent developments within the field of fractional calculus and fractional equations. Useful tools are provided for solving differential and integral equations as well as various problems involving special functions of mathematical physics and their extensions and generalizations in one and more variables. Much discussion is devoted to Riemann-Liouville fractional dynamic equations and Caputo fractional dynamic equations. Intended for use in the field and designed for students without an extensive mathematical background, this book is suitable for graduate courses and researchers looking for an introduction to fractional dynamic calculus and equations on time scales.

ISBN: 9783319739540

Standard No.: 10.1007/978-3-319-73954-0doiSubjects--Topical Terms:

898980
Fractional calculus.

LC Class. No.: QA314 / .G467 2018

Dewey Class. No.: 515.83

Fractional dynamic calculus and fractional dynamic equations on time scales
LDR:02570nmm a2200289 a 4500 001 2137079
003 DE-He213
005 20181011141813.0
006 m d
007 cr nn 008maaau
008 181117s2018 gw s 0 eng d
020 $a 9783319739540 $q (electronic bk.)
020 $a 9783319739533 $q (paper)
024 7 $a 10.1007/978-3-319-73954-0 $2 doi
035 $a 978-3-319-73954-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA314 $b .G467 2018
082 0 4 $a 515.83 $2 23
090 $a QA314 $b .G352 2018
100 1 $a Georgiev, Svetlin G. $3 2157952
245 1 0 $a Fractional dynamic calculus and fractional dynamic equations on time scales $h [electronic resource] / $c by Svetlin G. Georgiev.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a viii, 360 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1. Elements of the Time Scale Calculus -- 2. The Laplace Transform on Time Scales -- 3. The Convolution on Time Scales -- 4. The Riemann-Liouville Fractional D-Integral and the Riemann-Liouville Fractional D-Derivative on Time Scales -- 5. Cauchy Type Problem with the Riemann-Liouville Fractional D-Derivative -- 6. Riemann-Liouville Fractional Dynamic Equations with Constant Coefficients -- 7. The Caputo Fractional D-Derivative on Time Scales -- 8. Cauchy Type Problem with the Caputo Fractional D-Derivative -- 9. Caputo Fractional Dynamic Equations with Constant Coefficients -- Appendix: The Gamma Function -- Appendix: The Gamma Function -- Index.
520 $a Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems. Beginning with the definitions of forward and backward jump operators, the book builds from Stefan Hilger's basic theories on time scales and examines recent developments within the field of fractional calculus and fractional equations. Useful tools are provided for solving differential and integral equations as well as various problems involving special functions of mathematical physics and their extensions and generalizations in one and more variables. Much discussion is devoted to Riemann-Liouville fractional dynamic equations and Caputo fractional dynamic equations. Intended for use in the field and designed for students without an extensive mathematical background, this book is suitable for graduate courses and researchers looking for an introduction to fractional dynamic calculus and equations on time scales.
650 0 $a Fractional calculus. $3 898980
650 0 $a Dynamics $x Mathematics. $3 612742
650 0 $a Differential equations. $3 517952
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Calculus. $3 517463
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Integral Transforms, Operational Calculus. $3 897325
650 2 4 $a Measure and Integration. $3 891263
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-73954-0
950 $a Mathematics and Statistics (Springer-11649)