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 |