Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/27488
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Almeida, Ricardo | pt_PT |
dc.date.accessioned | 2020-02-05T11:13:39Z | - |
dc.date.available | 2020-02-05T11:13:39Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 0035-7596 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/27488 | - |
dc.description.abstract | In this paper we discuss fractional integrals and fractional derivatives of a function with respect to another function. We present some fundamental properties for both types of fractional operators, such as Taylor’s theorem, Leibniz and semigroup rules. We also provide a numerical tool to deal with these operators, by approximating them with a sum involving integer-order derivatives. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Rocky Mountain Mathematics Consortium | pt_PT |
dc.relation | UID/MAT/04106/2019 | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Fractional integral | pt_PT |
dc.subject | Fractional derivative | pt_PT |
dc.subject | Taylor’s theorem | pt_PT |
dc.subject | Semigroup law | pt_PT |
dc.subject | Expansion formulas | pt_PT |
dc.title | Further properties of Osler's generalized fractional integrals and derivatives with respect to another function | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 2459 | pt_PT |
degois.publication.issue | 8 | pt_PT |
degois.publication.lastPage | 2493 | pt_PT |
degois.publication.title | Rocky Mountain Journal of Mathematics | pt_PT |
degois.publication.volume | 49 | pt_PT |
dc.relation.publisherversion | https://projecteuclid.org/euclid.rmjm/1580461777 | pt_PT |
dc.identifier.doi | 10.1216/RMJ-2019-49-8-2459 | pt_PT |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[2019] Further properties of Osler's generalized fractional integrals and derivatives with respect to another function.pdf | 555.92 kB | Adobe PDF | View/Open |
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