Publication
An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
| dc.contributor.author | Moghaddam, B. Parsa | |
| dc.contributor.author | Yaghoobi, Sh. | |
| dc.contributor.author | Tenreiro Machado, J. A. | |
| dc.date.accessioned | 2017-01-25T15:32:44Z | |
| dc.date.embargo | 2117 | |
| dc.date.issued | 2016 | |
| dc.description.abstract | This article presents a numerical method based on the Adams–Bashforth–Moulton scheme to solve variable-order fractional delay differential equations (VFDDEs). In these equations, the variable-order (VO) fractional derivatives are described in the Caputo sense. The existence and uniqueness of the solutions are proved under Lipschitz condition. Numerical examples are presented showing the applicability and efficiency of the novel method. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1115/1.4032574 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/9408 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | American Society of Mechanical Engineers | pt_PT |
| dc.relation.ispartofseries | Journal of Computational and Nonlinear Dynamics;Vol. 11, Issue 6 | |
| dc.relation.publisherversion | http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2485372 | pt_PT |
| dc.subject | Variable-order fractional calculus | pt_PT |
| dc.subject | Variable-order fractional delay differential equations | pt_PT |
| dc.subject | Adams method | pt_PT |
| dc.subject | New iterative method | pt_PT |
| dc.subject | Predictor–corrector method | pt_PT |
| dc.title | An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.issue | 6 | pt_PT |
| oaire.citation.title | Journal of Computational and Nonlinear Dynamics | pt_PT |
| oaire.citation.volume | 11 | pt_PT |
| person.familyName | Tenreiro Machado | |
| person.givenName | J. A. | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 55989030100 | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isAuthorOfPublication.latestForDiscovery | 82cd5c17-07b6-492b-b3e3-ecebdad1254f |