Analytic and Numerical Solutions of Discrete Bagley-Torvik Equation
| dc.contributor.author | Khashan, M. Motawi | |
| dc.contributor.author | Xavier, Gnanaprakasam Britto Antony | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Meganathan, Murugesan | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.authorID | 234808 | tr_TR |
| dc.date.accessioned | 2022-03-22T10:41:07Z | |
| dc.date.accessioned | 2025-09-18T14:10:47Z | |
| dc.date.available | 2022-03-22T10:41:07Z | |
| dc.date.available | 2025-09-18T14:10:47Z | |
| dc.date.issued | 2021 | |
| dc.description | M, Meganathan/0000-0002-8807-6450 | en_US |
| 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. | en_US |
| dc.description.publishedMonth | 4 | |
| dc.description.sponsorship | Deanship of Scientific Research, King Saud University | en_US |
| dc.description.sponsorship | This research was funded by the Deanship of Scientific Research, King Saud University. | en_US |
| 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. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03371-3 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85105231386 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03371-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13804 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Difference Operator | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Bagley-Torvik Equation | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.title | Analytic and Numerical Solutions of Discrete Bagley-Torvik Equation | en_US |
| dc.title | Analytic and numerical solutions of discrete Bagley-Torvik equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | M, Meganathan/0000-0002-8807-6450 | |
| gdc.author.institutional | Jarad, Fahd | |
| gdc.author.institutional | Abdeljawad, Thabet | |
| gdc.author.scopusid | 57202107570 | |
| gdc.author.scopusid | 6508051762 | |
| gdc.author.scopusid | 57210083040 | |
| gdc.author.scopusid | 36661562200 | |
| gdc.author.scopusid | 15622742900 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | M, Meganathan/Aao-4993-2021 | |
| gdc.author.wosid | Xavier, Guilherme/I-4961-2013 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Meganathan, Murugesan; Xavier, Gnanaprakasam Britto Antony] Sacred Heart Coll Autonomous, Dept Math, Vellore 635601, Tamil Nadu, India; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet; Jarad, Fahd] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Khashan, M. Motawi] King Saud Univ, Dept Basic Sci, Riyadh 11451, Saudi Arabia; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2021 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3164785682 | |
| gdc.identifier.wos | WOS:000646075900001 | |
| gdc.openalex.fwci | 0.45433626 | |
| gdc.openalex.normalizedpercentile | 0.61 | |
| gdc.opencitations.count | 4 | |
| gdc.plumx.crossrefcites | 3 | |
| gdc.plumx.mendeley | 1 | |
| gdc.plumx.scopuscites | 8 | |
| gdc.scopus.citedcount | 8 | |
| gdc.wos.citedcount | 6 | |
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