The Variable-Order Fractional Calculus of Variations (Record no. 79477)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03776nam a22005655i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-94006-9 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801221250.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180629s2019 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319940069 |
| -- | 978-3-319-94006-9 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.00151 |
| 100 1# - AUTHOR NAME | |
| Author | Almeida, Ricardo. |
| 245 14 - TITLE STATEMENT | |
| Title | The Variable-Order Fractional Calculus of Variations |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIV, 124 p. 12 illus., 11 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | SpringerBriefs in Applied Sciences and Technology, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Fractional Calculus -- The Calculus of Variations -- Expansion Formulas for Fractional Derivatives -- The Fractional Calculus of Variations. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Tavares, Dina. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Torres, Delfim F. M. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-94006-9 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2019. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical optimization. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Calculus of variations. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical analysis. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Calculus of Variations and Optimization. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Integral Transforms and Operational Calculus. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2191-5318 |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
No items available.