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dc.contributor.authorFord, Neville J.*
dc.contributor.authorRodrigues, M. M.*
dc.contributor.authorXiao, Jingyu*
dc.contributor.authorYan, Yubin*
dc.date.accessioned2019-03-11T14:55:13Z
dc.date.available2019-03-11T14:55:13Z
dc.date.issued2013-09-26
dc.identifier.citationFord, N. J., Rodrigus, M. M., Xiao, J. & Yan, Y. (2013). Numerical analysis of a teo-parameter fractional telegraph equation. Journal of Computational and Applied Mathematics, 249, 95-106.en
dc.identifier.issn0377-0427
dc.identifier.doi10.1016/j.cam.2013.02.009
dc.identifier.urihttp://hdl.handle.net/10034/621967
dc.description.abstractIn this paper we consider the two-parameter fractional telegraph equation of the form $$-\, ^CD_{t_0^+}^{\alpha+1} u(t,x) + \, ^CD_{x_0^+}^{\beta+1} u (t,x)- \, ^CD_{t_0^+}^{\alpha}u (t,x)-u(t,x)=0.$$ Here $\, ^CD_{t_0^+}^{\alpha}$, $\, ^CD_{t_0^+}^{\alpha+1}$, $\, ^CD_{x_0^+}^{\beta+1}$ are operators of the Caputo-type fractional derivative, where $0\leq \alpha < 1$ and $0 \leq \beta < 1$. The existence and uniqueness of the equations are proved by using the Banach fixed point theorem. A numerical method is introduced to solve this fractional telegraph equation and stability conditions for the numerical method are obtained. Numerical examples are given in the final section of the paper.
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttps://www.sciencedirect.com/science/article/pii/S0377042713000691en
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectfractional telegraph equationen
dc.subjectnumerical analysisen
dc.titleNumerical analysis of a two-parameter fractional telegraph equationen
dc.typeArticleen
dc.identifier.eissn1879-1778
dc.contributor.departmentUniversity of Chester, Harbin Institute of Technology, University of Aveiro, Campus Universitario de Santiagoen
dc.identifier.journalJournal of Computational and Applied Mathematics
dc.date.accepted2013-09-26
or.grant.openaccessYesen
rioxxterms.funderunfunded researchen_US
rioxxterms.identifier.projectunfunded researchen_US
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2015-02-26


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Attribution 4.0 International
Except where otherwise noted, this item's license is described as Attribution 4.0 International