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An entropy paradox free fractional diffusion equation

2021-12Artigo científico Acesso aberto
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dc.contributor.authorOrtigueira, Manuel Duarte
dc.contributor.institutionCTS - Centro de Tecnologia e Sistemas
dc.contributor.institutionDEE - Departamento de Engenharia Electrotécnica e de Computadores
dc.contributor.institutionDEE2010-B2 Sistemas
dc.contributor.institutionUNINOVA-Instituto de Desenvolvimento de Novas Tecnologias
dc.contributor.pblMDPI - Multidisciplinary Digital Publishing Institute
dc.date.accessioned2022-07-27T22:26:05Z
dc.date.available2022-07-27T22:26:05Z
dc.date.issued2021-12
dc.description
dc.description.abstractA new look at the fractional diffusion equation was done. Using the unified fractional derivative, a new formulation was proposed, and the equation was solved for three different order cases: neutral, dominant time, and dominant space. The solutions were expressed by generalizations of classic formulae used for the stable distributions. The entropy paradox problem was studied and clarified through the Rényi entropy: in the extreme wave regime the entropy is −∞. In passing, Tsallis and Rényi entropies for stable distributions are introduced and exemplified.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent451296
dc.identifier.doi10.3390/fractalfract5040236
dc.identifier.issn2504-3110
dc.identifier.otherPURE: 45640867
dc.identifier.otherPURE UUID: 5a100a9e-4f8d-423f-9244-b276ef76878f
dc.identifier.otherScopus: 85120156512
dc.identifier.otherWOS: 000738900700001
dc.identifier.otherORCID: /0000-0003-4270-3284/work/116451775
dc.identifier.urihttp://hdl.handle.net/10362/142519
dc.identifier.urlhttps://www.scopus.com/pages/publications/85120156512
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00066%2F2020/PT
dc.relationCentre of Technology and Systems
dc.subjectDiffusion equation
dc.subjectEntropy production paradox
dc.subjectRényi entropy
dc.subjectShannon entropy
dc.subjectStable distribution
dc.subjectTsallis entropy
dc.subjectUnified fractional derivative
dc.subjectAnalysis
dc.subjectStatistical and Nonlinear Physics
dc.subjectStatistics and Probability
dc.titleAn entropy paradox free fractional diffusion equationen
dc.typejournal article
degois.publication.issue4
degois.publication.titleFractal and Fractional
degois.publication.volume5
dspace.entity.typePublication
oaire.awardNumberUIDB/00066/2020
oaire.awardTitleCentre of Technology and Systems
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00066%2F2020/PT
oaire.fundingStream6817 - DCRRNI ID
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublication779ae807-14a4-4e58-87e2-6dd81eb7a030
relation.isProjectOfPublication.latestForDiscovery779ae807-14a4-4e58-87e2-6dd81eb7a030

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