dc.contributor.author Ford, Neville J. * dc.contributor.author Rodrigues, M. M. * dc.contributor.author Xiao, Jingyu * dc.contributor.author Yan, Yubin * dc.date.accessioned 2019-03-11T14:55:13Z dc.date.available 2019-03-11T14:55:13Z dc.date.issued 2013-09-26 dc.identifier.citation Ford, 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.issn 0377-0427 dc.identifier.doi 10.1016/j.cam.2013.02.009 dc.identifier.uri http://hdl.handle.net/10034/621967 dc.description.abstract In 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.iso en en dc.publisher Elsevier en dc.relation.url https://www.sciencedirect.com/science/article/pii/S0377042713000691 en dc.rights Attribution 4.0 International * dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ en dc.subject fractional telegraph equation en dc.subject numerical analysis en dc.title Numerical analysis of a two-parameter fractional telegraph equation en dc.type Article en dc.identifier.eissn 1879-1778 dc.contributor.department University of Chester, Harbin Institute of Technology, University of Aveiro, Campus Universitario de Santiago en dc.identifier.journal Journal of Computational and Applied Mathematics dc.date.accepted 2013-09-26 or.grant.openaccess Yes en rioxxterms.funder unfunded research en_US rioxxterms.identifier.project unfunded research en_US rioxxterms.version AM en rioxxterms.licenseref.startdate 2015-02-26
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