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http://hdl.handle.net/10773/14645
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Benkhettou, N. | pt |
dc.contributor.author | Brito da Cruz, A. M. C. | pt |
dc.contributor.author | Torres, D. F. M. | pt |
dc.date.accessioned | 2015-09-16T09:06:43Z | - |
dc.date.issued | 2015-02 | - |
dc.identifier.issn | 0165-1684 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/14645 | - |
dc.description.abstract | We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As particular cases, one obtains the usual time-scale Hilger derivative when the order of differentiation is one, and a local approach to fractional calculus when the time scale is chosen to be the set of real numbers. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | Sidi Bel Abbes University | pt |
dc.relation | FCT/CIDMA - PEst-OE/MAT/UI4106/2014 | pt |
dc.rights | restrictedAccess | por |
dc.subject | Calculus on time scales | pt |
dc.subject | Fractional differentiation | pt |
dc.subject | Fractional integration | pt |
dc.subject | Calculations | pt |
dc.subject | Integration | pt |
dc.subject | Time measurement | pt |
dc.subject | Arbitrary time | pt |
dc.subject | Fractional calculus | pt |
dc.subject | Local approaches | pt |
dc.subject | Order of differentiation | pt |
dc.subject | Real number | pt |
dc.subject | Time-scales | pt |
dc.subject | Differentiation (calculus) | pt |
dc.title | A fractional calculus on arbitrary time scales: fractional differentiation and fractional integration | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
ua.event.title | Signal Processing | |
degois.publication.firstPage | 230 | pt |
degois.publication.lastPage | 237 | pt |
degois.publication.title | Signal Processing | pt |
degois.publication.volume | 107 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1016/j.sigpro.2014.05.026 | pt |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[296]SIGPRO_Benkhettou_Brito-da-Cruz_Torres.pdf | 300.98 kB | Adobe PDF |
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