Analytic and numerical solutions of discrete Bagley-Torvik equation

Meganathan, Murugesan; Abdeljawad, Thabet; Khashan, M. Motawi; Xavier, Gnanaprakasam Britto Antony; Jarad, Fahd

dc.contributor.author	Meganathan, Murugesan
dc.contributor.author	Abdeljawad, Thabet
dc.contributor.author	Khashan, M. Motawi
dc.contributor.author	Xavier, Gnanaprakasam Britto Antony
dc.contributor.author	Jarad, Fahd
dc.date.accessioned	2022-03-22T10:41:07Z
dc.date.available	2022-03-22T10:41:07Z
dc.date.issued	2021-04-29
dc.identifier.citation	Meganathan, Murugesan...et al. (2021). "Analytic and numerical solutions of discrete Bagley-Torvik equation", Advances in Difference Equations, Vol. 2021, No. 1.	tr_TR
dc.identifier.issn	1687-1839
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5148
dc.description.abstract	In this research article, a discrete version of the fractional Bagley-Torvik equation is proposed: del(2)(h)u(t) + A(C)del(nu)(h) u(t) + Bu(t) = f (t), t > 0, (1) where 0 < nu < 1 or 1 < nu < 2, subject to u(0) = a and del(h)u(0) = b, with a and b being real numbers. The solutions are obtained by employing the nabla discrete Laplace transform. These solutions are expressed in terms of Mittag-Leffler functions with three parameters. These solutions are handled numerically for some examples with specific values of some parameters.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1186/s13662-021-03371-3	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractional Calculus	tr_TR
dc.subject	Difference Operator	tr_TR
dc.subject	Laplace Transform	tr_TR
dc.subject	Bagley–Torvik Equation	tr_TR
dc.subject	Caputo Derivative	tr_TR
dc.title	Analytic and numerical solutions of discrete Bagley-Torvik equation	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Advances in Difference Equations	tr_TR
dc.contributor.authorID	234808	tr_TR
dc.identifier.volume	2021	tr_TR
dc.identifier.issue	1	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR