Repository logo
 
Publication

a-fractal function with variable parameters: an explicit representation

2024Research article Open access
Simple item page
authorProfile.emailbiblioteca@isel.pt
datacite.subject.fosCiências Naturais::Matemáticas
dc.contributor.authorPriyanka, T. M. C.
dc.contributor.authorSerpa, Cristina
dc.contributor.authorGowrisankar, A.
dc.date.accessioned2025-09-24T09:08:07Z
dc.date.available2025-09-24T09:08:07Z
dc.date.issued2024
dc.description.abstractIn this paper, new results on the alpha-fractal function with variable parameters are presented. The Weyl-Marchaud variable order fractional derivative of an alpha-fractal function with variable parameters is examined by imposing certain conditions on the scaling factors. Following the investigation of fractional derivative, the definite integral of the alpha-fractal function with variable parameters is evaluated for various intervals in the prescribed domain. Finally, an explicit structure for the alpha-fractal function is provided using the base q representation of numbers.eng
dc.identifier.citationPriyanka, T. M. C., Serpa, C., & Gowrisankar, A. (2024). a-fractal function with variable parameters: an explicit representation. Fractals – Complex Geometry Patterns and Scaling in Nature and Society, 32(02), 1-12. https://doi.org/10.1142/S0218348X24400085
dc.identifier.doihttps://doi.org/10.1142/S0218348X24400085
dc.identifier.eissn1793-6543
dc.identifier.issn0218-348X
dc.identifier.urihttp://hdl.handle.net/10400.21/22151
dc.language.isoeng
dc.peerreviewedyes
dc.publisherWorld Scientific Connect
dc.relationCenter for Mathematics, Fundamental Applications and Operations Research
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAlpha-fractal function
dc.subjectVariable parameters
dc.subjectFractional derivative
dc.subjectDefinite integral
dc.subjectBase representation
dc.subjectUIDB/04561/2020
dc.titlea-fractal function with variable parameters: an explicit representationeng
dc.typeresearch article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, Fundamental Applications and Operations Research
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04561%2F2020/PT
oaire.citation.endPage12
oaire.citation.issue02
oaire.citation.startPage1
oaire.citation.titleFractals: Complex Geometry, Patterns, and Scaling in Nature and Society
oaire.citation.volume32
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43
person.familyNameSerpa
person.givenNameCristina
person.identifier.ciencia-id1B15-DA44-023A
person.identifier.orcid0000-0002-8561-118X
person.identifier.ridO-8331-2015
person.identifier.scopus-author-id56538324400
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication3fb42403-d3c8-4217-aaab-47a7add778e2
relation.isAuthorOfPublication.latestForDiscovery3fb42403-d3c8-4217-aaab-47a7add778e2
relation.isProjectOfPublicationc3ed7fa9-be2d-4c08-9872-35ba23cbbc85
relation.isProjectOfPublication.latestForDiscoveryc3ed7fa9-be2d-4c08-9872-35ba23cbbc85

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
α-fractal_CSerpa.pdf
Size:
520.78 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
4.03 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ISEL - Matemática - Artigos