Analysis of Regularized Long-Wave Equation Associated With a New Fractional Operator With Mittag-Leffler Type Kernel
| dc.contributor.author | Singh, Jagdev | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Sushila | |
| dc.contributor.author | Kumar, Devendra | |
| dc.date.accessioned | 2020-03-31T20:34:46Z | |
| dc.date.accessioned | 2025-09-18T16:08:39Z | |
| dc.date.available | 2020-03-31T20:34:46Z | |
| dc.date.available | 2025-09-18T16:08:39Z | |
| dc.date.issued | 2018 | |
| dc.description | Kumar, Devendra/0000-0003-4249-6326 | en_US |
| dc.description.abstract | In this work, we aim to present a new fractional extension of regularized long-wave equation. The regularized long-wave equation is a very important mathematical model in physical sciences, which unfolds the nature of shallow water waves and ion acoustic plasma waves. The existence and uniqueness of the solution of the regularized long-wave equation associated with Atangana Baleanu fractional derivative having Mittag-Leffler type kernel is verified by implementing the fixed-point theorem. The numerical results are derived with the help of an iterative algorithm. In order to show the effects of various parameters and variables on the displacement, the numerical results are presented in graphical and tabular form. (C) 2017 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru; et al. "Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel", Physica A-Statistical Mechanics and Its Applications, Vol. 492, pp.155-167, (2018) | en_US |
| dc.identifier.doi | 10.1016/j.physa.2017.10.002 | |
| dc.identifier.issn | 0378-4371 | |
| dc.identifier.issn | 1873-2119 | |
| dc.identifier.scopus | 2-s2.0-85032302868 | |
| dc.identifier.uri | https://doi.org/10.1016/j.physa.2017.10.002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15131 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Physica A: Statistical Mechanics and its Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Regularized Long-Wave Equation | en_US |
| dc.subject | Atangana-Baleanu Derivative | en_US |
| dc.subject | Ion Acoustic Plasma Waves | en_US |
| dc.subject | Shallow Water Waves | en_US |
| dc.subject | Existence And Uniqueness | en_US |
| dc.subject | Fixed-Point Theorem | en_US |
| dc.title | Analysis of Regularized Long-Wave Equation Associated With a New Fractional Operator With Mittag-Leffler Type Kernel | en_US |
| dc.title | Analysis of Regularized Long-Wave Equation Associated With A New Fractional Operator With Mittag-Leffler Type Kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Singh, Jagdev/Aac-1015-2019 | |
| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kumar, Devendra; Singh, Jagdev] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Eskisehir Yolu 29 Km, TR-06790 Etimesgut, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Sushila] Vivekananda Global Univ, Dept Phys, Jaipur 303012, Rajasthan, India | en_US |
| gdc.description.endpage | 167 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 155 | en_US |
| gdc.description.volume | 492 | en_US |
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| gdc.oaire.keywords | fractional regularized long-wave equation | |
| gdc.oaire.keywords | shallow water waves | |
| gdc.oaire.keywords | fixed-point theorem | |
| gdc.oaire.keywords | ion acoustic plasma waves | |
| gdc.oaire.keywords | Atangana-Baleanu derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | existence and uniqueness | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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