國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

The variable-order fractional calcul...

Almeida, Ricardo.

The variable-order fractional calculus of variations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The variable-order fractional calculus of variationsby Ricardo Almeida, Dina Tavares, Delfim F. M. Torres.
作者:	Almeida, Ricardo.
其他作者:	Tavares, Dina.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xiv, 124 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Fractional calculus.
電子資源:	http://dx.doi.org/10.1007/978-3-319-94006-9
ISBN:	9783319940069$q(electronic bk.)

The variable-order fractional calculus of variations
Almeida, Ricardo.

The variable-order fractional calculus of variations[electronic resource] /by Ricardo Almeida, Dina Tavares, Delfim F. M. Torres. - Cham :Springer International Publishing :2019. - xiv, 124 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

Fractional Calculus -- The Calculus of Variations -- Expansion Formulas for Fractional Derivatives -- The Fractional Calculus of Variations.

The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. The contributors consider variational problems that may be subject to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, they establish necessary optimality conditions of Euler-Lagrange type. As the terminal point in the cost integral is free, as is the terminal state, transversality conditions are also obtained. The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics, physics, engineering, control and optimization; it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields, as it solves multiple variational problems subject to one or more constraints in a single brief.

ISBN: 9783319940069$q(electronic bk.)

Standard No.: 10.1007/978-3-319-94006-9doiSubjects--Topical Terms:

208302
Fractional calculus.

LC Class. No.: QA314 / .A464 2019

Dewey Class. No.: 515.83

The variable-order fractional calculus of variations
LDR:02518nmm a2200301 a 4500 001 550393
003 DE-He213
005 20180629100946.0
006 m d
007 cr nn 008maaau
008 191004s2019 gw s 0 eng d
020 $a 9783319940069$q(electronic bk.)
020 $a 9783319940052$q(paper)
024 7 $a 10.1007/978-3-319-94006-9 $2 doi
035 $a 978-3-319-94006-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA314 $b .A464 2019
082 0 4 $a 515.83 $2 23
090 $a QA314 $b .A447 2019
100 1 $a Almeida, Ricardo. $3 830184
245 1 4 $a The variable-order fractional calculus of variations $h [electronic resource] / $c by Ricardo Almeida, Dina Tavares, Delfim F. M. Torres.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xiv, 124 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in applied sciences and technology, $x 2191-530X
505 0 $a Fractional Calculus -- The Calculus of Variations -- Expansion Formulas for Fractional Derivatives -- The Fractional Calculus of Variations.
520 $a The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. The contributors consider variational problems that may be subject to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, they establish necessary optimality conditions of Euler-Lagrange type. As the terminal point in the cost integral is free, as is the terminal state, transversality conditions are also obtained. The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics, physics, engineering, control and optimization; it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields, as it solves multiple variational problems subject to one or more constraints in a single brief.
650 0 $a Fractional calculus. $3 208302
650 0 $a Calculus of variations. $3 191127
650 1 4 $a Engineering. $3 210888
650 2 4 $a Engineering Mathematics. $3 806481
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
650 2 4 $a Calculus. $3 183091
700 1 $a Tavares, Dina. $3 830185
700 1 $a Torres, Delfim F. M. $3 765739
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in applied sciences and technology. $3 557662
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-94006-9
950 $a Engineering (Springer-11647)