Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/18433
Title: | Variational Problems Involving a Caputo-Type Fractional Derivative |
Author: | Almeida, Ricardo |
Keywords: | Fractional calculus Caputo-type fractional derivative Variational problems |
Issue Date: | 2017 |
Publisher: | Springer |
Abstract: | We study calculus of variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo–Hadamard fractional derivatives, with dependence on a real parameter ρ. We present sufficient and necessary conditions of first and second order to determine the extremizers of a functional. The cases of integral and holomonic constraints are also considered. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/18433 |
DOI: | 10.1007/s10957-016-0883-4 |
ISSN: | 0022-3239 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1601.07376.pdf | Documento principal | 175.71 kB | Adobe PDF | View/Open |
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