On the Analysis of Vibration Equation Involving a Fractional Derivative With Mittag-Leffler Law
| dc.contributor.author | Singh, Jagdev | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kumar, Devendra | |
| dc.date.accessioned | 2020-01-31T11:54:30Z | |
| dc.date.accessioned | 2025-09-18T12:47:53Z | |
| dc.date.available | 2020-01-31T11:54:30Z | |
| dc.date.available | 2025-09-18T12:47:53Z | |
| dc.date.issued | 2020 | |
| dc.description | Kumar, Devendra/0000-0003-4249-6326 | en_US |
| 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. | en_US |
| 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). | en_US |
| dc.identifier.doi | 10.1002/mma.5903 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85073780137 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.5903 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11923 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Atangana-Baleanu Derivative | en_US |
| dc.subject | Fhatm | en_US |
| dc.subject | Fractional Vibration Equation | en_US |
| dc.subject | Large Membranes | en_US |
| dc.title | On the Analysis of Vibration Equation Involving a Fractional Derivative With Mittag-Leffler Law | en_US |
| dc.title | On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Kumar, Devendra/0000-0003-4249-6326 | |
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| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
| gdc.author.wosid | Singh, Jagdev/Aac-1015-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kumar, Devendra] Univ Rajasthan, Dept Math, Jaipur, Rajasthan, India; [Singh, Jagdev] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.endpage | 457 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 443 | en_US |
| gdc.description.volume | 43 | en_US |
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| gdc.oaire.keywords | Membranes | |
| gdc.oaire.keywords | Vibrations in dynamical problems in solid mechanics | |
| gdc.oaire.keywords | FHATM | |
| gdc.oaire.keywords | fractional vibration equation | |
| gdc.oaire.keywords | large membranes | |
| gdc.oaire.keywords | Atangana-Baleanu derivative | |
| gdc.oaire.keywords | PDEs in connection with mechanics of deformable solids | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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