Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/60586
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Almeida, Ricardo | por |
dc.contributor.author | Malinowska, Agnieszka B. | por |
dc.contributor.author | Monteiro, M. Teresa T. | por |
dc.date.accessioned | 2019-06-19T12:37:32Z | - |
dc.date.available | 2019-06-19T12:37:32Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 0170-4214 | - |
dc.identifier.uri | https://hdl.handle.net/1822/60586 | - |
dc.description.abstract | This paper is devoted to the study of the initial value problem of nonlinear fractional differential equations involving a Caputo-type fractional derivative with respect to another function. Existence and uniqueness results for the problem are established by means of the some standard fixed point theorems. Next, we develop the Picard iteration method for solving numerically the problem and obtain results on the long-term behavior of solutions. Finally, we analyze a population growth model and a gross domestic product model with governing equations being fractional differential equations that we have introduced in this work. | por |
dc.description.sponsorship | R. Almeida was supported by Portuguese funds through the CIDMA-Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), within project UID/MAT/04106/2013; A. B. Malinowska by the Bialystok University of Technology grant S/WI/1/2016, and M. T. Monteiro by COMPETE: POCI-01-0145-FEDER-007043 and FCT-Fundação para a Ciência e a Tecnologia within the Project Scope: UID/CEC/00319/2013. | por |
dc.language.iso | eng | por |
dc.publisher | Wiley | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147280/PT | por |
dc.rights | openAccess | por |
dc.subject | Fractional calculus | por |
dc.subject | Fractional differential equations | por |
dc.subject | Population growth model | por |
dc.subject | Gross domestic product model | por |
dc.title | Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
oaire.citationStartPage | 336 | por |
oaire.citationEndPage | 352 | por |
oaire.citationIssue | 1 | por |
oaire.citationVolume | 41 | por |
dc.date.updated | 2019-06-19T11:00:29Z | - |
dc.identifier.eissn | 1099-1476 | - |
dc.identifier.doi | 10.1002/mma.4617 | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Mathematical Methods in the Applied Sciences | por |
Aparece nas coleções: | CAlg - Artigos em revistas internacionais / Papers in international journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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AMM_MMAS_RV2.pdf | 543,06 kB | Adobe PDF | Ver/Abrir |