Fractal calculus on fractal interpolation functions

Detalhes bibliográficos
Autor(a) principal: Gowrisankar, Arulprakash
Data de Publicação: 2021
Outros Autores: Khalili Golmankhaneh, Alireza, Serpa, Cristina
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/13881
Resumo: In this paper, fractal calculus, which is called F α -calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non differentiable and non-integrable in the sense of ordinary calculus. Graphical representations of fractal calculus of fractal interpolation functions and Weierstrass functions are presented.
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spelling Fractal calculus on fractal interpolation functionsFractal calculusFractal dimensionsWeierstrass functionFractal interpolation functionIn this paper, fractal calculus, which is called F α -calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non differentiable and non-integrable in the sense of ordinary calculus. Graphical representations of fractal calculus of fractal interpolation functions and Weierstrass functions are presented.MDPIRCIPLGowrisankar, ArulprakashKhalili Golmankhaneh, AlirezaSerpa, Cristina2021-10-13T11:09:33Z2021-10-082021-10-08T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/13881engGOWRISANKAR, Arulprakash; GOLMANKHANEH, Alireza Khalili; SERPA, Cristina – Fractal calculus on fractal interpolation functions. Fractal and Fractional, Vol. 5, N.º 4 (2021), pp. 1-1510.3390/fractalfract50401572504-3110info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T10:09:19Zoai:repositorio.ipl.pt:10400.21/13881Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:21:45.427803Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Fractal calculus on fractal interpolation functions
title Fractal calculus on fractal interpolation functions
spellingShingle Fractal calculus on fractal interpolation functions
Gowrisankar, Arulprakash
Fractal calculus
Fractal dimensions
Weierstrass function
Fractal interpolation function
title_short Fractal calculus on fractal interpolation functions
title_full Fractal calculus on fractal interpolation functions
title_fullStr Fractal calculus on fractal interpolation functions
title_full_unstemmed Fractal calculus on fractal interpolation functions
title_sort Fractal calculus on fractal interpolation functions
author Gowrisankar, Arulprakash
author_facet Gowrisankar, Arulprakash
Khalili Golmankhaneh, Alireza
Serpa, Cristina
author_role author
author2 Khalili Golmankhaneh, Alireza
Serpa, Cristina
author2_role author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Gowrisankar, Arulprakash
Khalili Golmankhaneh, Alireza
Serpa, Cristina
dc.subject.por.fl_str_mv Fractal calculus
Fractal dimensions
Weierstrass function
Fractal interpolation function
topic Fractal calculus
Fractal dimensions
Weierstrass function
Fractal interpolation function
description In this paper, fractal calculus, which is called F α -calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non differentiable and non-integrable in the sense of ordinary calculus. Graphical representations of fractal calculus of fractal interpolation functions and Weierstrass functions are presented.
publishDate 2021
dc.date.none.fl_str_mv 2021-10-13T11:09:33Z
2021-10-08
2021-10-08T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.21/13881
url http://hdl.handle.net/10400.21/13881
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv GOWRISANKAR, Arulprakash; GOLMANKHANEH, Alireza Khalili; SERPA, Cristina – Fractal calculus on fractal interpolation functions. Fractal and Fractional, Vol. 5, N.º 4 (2021), pp. 1-15
10.3390/fractalfract5040157
2504-3110
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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