Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/14647
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Almeida, R. | pt |
dc.contributor.author | Torres, D. F. M. | pt |
dc.date.accessioned | 2015-09-16T09:58:26Z | - |
dc.date.issued | 2015 | - |
dc.identifier.issn | 0096-3003 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/14647 | - |
dc.description.abstract | We consider Hadamard fractional derivatives and integrals of variable fractional order. A new type of fractional operator, which we call the Hadamard-Marchaud fractional derivative, is also considered. The objective is to represent these operators as series of terms involving integer-order derivatives only, and then approximate the fractional operators by a finite sum. An upper bound formula for the error is provided. We exemplify our method by applying the proposed numerical procedure to the solution of a fractional differential equation and a fractional variational problem with dependence on the Hadamard-Marchaud fractional derivative. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | CIDMA/FCT - PEst-OE/MAT/UI4106/2014 | pt |
dc.relation | info:eu-repo/grantAgreement/EC/FP7/264735 | pt |
dc.relation | FCT/FEDER - PTDC/EEI-AUT/1450/2012, with COMPETE reference FCOMP-01-0124-FEDER-028894 | pt |
dc.rights | restrictedAccess | por |
dc.subject | Fractional calculus | pt |
dc.subject | Fractional calculus of variations | pt |
dc.subject | Fractional differential equations | pt |
dc.subject | Numerical methods | pt |
dc.subject | Variable fractional order | pt |
dc.subject | Differential equations | pt |
dc.subject | Differentiation (calculus) | pt |
dc.subject | Torque control | pt |
dc.subject | Fractional derivatives | pt |
dc.subject | Fractional derivatives and integrals | pt |
dc.subject | Fractional operators | pt |
dc.subject | Fractional order | pt |
dc.subject | Numerical procedures | pt |
dc.subject | Variational problems | pt |
dc.subject | Calculations | pt |
dc.title | Computing Hadamard type operators of variable fractional order | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
ua.event.title | Applied Mathematics and Computation | |
degois.publication.firstPage | 74 | pt |
degois.publication.lastPage | 88 | pt |
degois.publication.title | Applied Mathematics and Computation | pt |
degois.publication.volume | 257 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1016/j.amc.2014.12.071 | pt |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
[315]Hadamard_variable_order.pdf | 650.21 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.