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Numerical analysis of the initial conditions in fractional systems

dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2015-11-18T17:16:54Z
dc.date.available2015-11-18T17:16:54Z
dc.date.issued2014
dc.description.abstractFractional dynamics is a growing topic in theoretical and experimental scientific research. A classical problem is the initialization required by fractional operators. While the problem is clear from the mathematical point of view, it constitutes a challenge in applied sciences. This paper addresses the problem of initialization and its effect upon dynamical system simulation when adopting numerical approximations. The results are compatible with system dynamics and clarify the formulation of adequate values for the initial conditions in numerical simulations.pt_PT
dc.identifier.doi10.1016/j.cnsns.2014.01.027pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/6921
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.ispartofseriesCommunications in Nonlinear Science and Numerical Simulation;Vol. 19, Issue 9
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S1007570414000537pt_PT
dc.subjectFractional Calculuspt_PT
dc.subjectInitial conditionspt_PT
dc.subjectNumerical simulationpt_PT
dc.titleNumerical analysis of the initial conditions in fractional systemspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage2941pt_PT
oaire.citation.startPage2935pt_PT
oaire.citation.titleCommunications in Nonlinear Science and Numerical Simulationpt_PT
oaire.citation.volume19pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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