國立高雄大學圖資館 |

Language: English

Back

Fractional differential equationsan ...

Jin, Bangti.

Fractional differential equationsan approach via fractional derivatives /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional differential equationsby Bangti Jin.
Reminder of title:	an approach via fractional derivatives /
Author:	Jin, Bangti.
Published:	Cham :Springer International Publishing :2021.
Description:	xiv, 368 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fractional differential equations.
Online resource:	https://doi.org/10.1007/978-3-030-76043-4
ISBN:	9783030760434$q(electronic bk.)

Fractional differential equationsan approach via fractional derivatives /
Jin, Bangti.

Fractional differential equationsan approach via fractional derivatives /[electronic resource] :by Bangti Jin. - Cham :Springer International Publishing :2021. - xiv, 368 p. :ill., digital ;24 cm. - Applied mathematical sciences,v.2060066-5452 ;. - Applied mathematical sciences ;v.176..

Part I: Preliminaries -- Continuous Time Random Walk -- Fractional Calculus -- Mittag-Leffler and Wright Functions -- Part II: Fractional Ordinary Differential Equations -- Cauchy Problems for Fractional ODEs -- Boundary Value Problem for Fractional ODEs -- Part III: Time-Fractional Diffusion -- Subdiffusion: Hilbert Space Theory -- Subdiffusion: Holder Space Theory -- Mathematical Preliminaries -- Index.

This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive exercises, and graphic illustrations throughout to complement its comprehensive presentation of the field. It is recommended for graduate students and researchers in applied and computational mathematics, particularly applied analysis, numerical analysis and inverse problems.

ISBN: 9783030760434$q(electronic bk.)

Standard No.: 10.1007/978-3-030-76043-4doiSubjects--Topical Terms:

709091
Fractional differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.35

Fractional differential equationsan approach via fractional derivatives /
LDR:02131nmm a2200337 a 4500 001 605529
003 DE-He213
005 20210722064927.0
006 m d
007 cr nn 008maaau
008 211201s2021 sz s 0 eng d
020 $a 9783030760434$q(electronic bk.)
020 $a 9783030760427$q(paper)
024 7 $a 10.1007/978-3-030-76043-4 $2 doi
035 $a 978-3-030-76043-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA372
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515.35 $2 23
090 $a QA372 $b .J61 2021
100 1 $a Jin, Bangti. $3 749166
245 1 0 $a Fractional differential equations $h [electronic resource] : $b an approach via fractional derivatives / $c by Bangti Jin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiv, 368 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 0066-5452 ; $v v.206
505 0 $a Part I: Preliminaries -- Continuous Time Random Walk -- Fractional Calculus -- Mittag-Leffler and Wright Functions -- Part II: Fractional Ordinary Differential Equations -- Cauchy Problems for Fractional ODEs -- Boundary Value Problem for Fractional ODEs -- Part III: Time-Fractional Diffusion -- Subdiffusion: Hilbert Space Theory -- Subdiffusion: Holder Space Theory -- Mathematical Preliminaries -- Index.
520 $a This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive exercises, and graphic illustrations throughout to complement its comprehensive presentation of the field. It is recommended for graduate students and researchers in applied and computational mathematics, particularly applied analysis, numerical analysis and inverse problems.
650 0 $a Fractional differential equations. $3 709091
650 1 4 $a Analysis. $3 273775
650 2 4 $a Integral Transforms, Operational Calculus. $3 275781
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Applied mathematical sciences ; $v v.176. $3 557779
856 4 0 $u https://doi.org/10.1007/978-3-030-76043-4
950 $a Mathematics and Statistics (SpringerNature-11649)