DSpace Repository

On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law

Show simple item record

dc.contributor.author Kumar, Devendra
dc.contributor.author Singh, Jagdev
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-01-31T11:54:30Z
dc.date.available 2020-01-31T11:54:30Z
dc.date.issued 2019-09
dc.identifier.citation Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru, "On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law", Mathematical Methods in the Applied Sciences, (2019). tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/2404
dc.description.abstract The present article deals with a fractional extension of the vibration equation for very large membranes with distinct special cases. The fractional derivative is considered in Atangana-Baleanu sense. A numerical algorithm based on homotopic technique is employed to examine the fractional vibration equation. The stability analysis is conducted for the suggested scheme. The maple software package is utilized for numerical simulation. In order to illustrate the effects of space, time, and order of Atangana-Baleanu derivative on the displacement, the outcomes of this study are demonstrated graphically. The results revel that the Atangana-Baleanu fractional derivative is very efficient in describing vibrations in large membranes. tr_TR
dc.language.iso eng tr_TR
dc.publisher Wiley tr_TR
dc.relation.isversionof 10.1002/mma.5903 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Atangana-Baleanu Derivative tr_TR
dc.subject FHATM tr_TR
dc.subject Fractional Vibration Equation tr_TR
dc.subject Large Membranes tr_TR
dc.title On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record