Investigation of the Logarithmic-Kdv Equation Involving Mittag-Leffler Type Kernel With Atangana-Baleanu Derivative
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.contributor.author | Aliyu, Aliyu Isa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Inc, Mustafa | |
| dc.date.accessioned | 2020-03-26T06:39:18Z | |
| dc.date.accessioned | 2025-09-18T12:05:01Z | |
| dc.date.available | 2020-03-26T06:39:18Z | |
| dc.date.available | 2025-09-18T12:05:01Z | |
| dc.date.issued | 2018 | |
| dc.description | Isa Aliyu, Aliyu/0000-0002-9756-7374; Yusuf, Abdullahi/0000-0002-8308-7943 | en_US |
| dc.description.abstract | This work presents analysis of the logarithmic-KdV equation involving new fractional operator called Atangana-Baleanu (AB) fractional derivative with Mittag-Leffler (ML) type kernel. The existence and uniqueness of the governing equation having AB fractional derivative with ML type kernel is proved with the aid of a fixed-point theorem. We present numerical simulations by using iterative algorithm. The effectiveness of various parameters and variables on the displacement are presented in Figures 1 and 2. (C) 2018 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Inc, Mustafa...et al. (2018). "Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana-Baleanu derivative", Physica A-Statistical Mechanics and Its Applications, Vol. 506, pp. 520-531. | en_US |
| dc.identifier.doi | 10.1016/j.physa.2018.04.092 | |
| dc.identifier.issn | 0378-4371 | |
| dc.identifier.issn | 1873-2119 | |
| dc.identifier.scopus | 2-s2.0-85046481828 | |
| dc.identifier.uri | https://doi.org/10.1016/j.physa.2018.04.092 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10486 | |
| 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 Logarithmic-Kdv Equation | en_US |
| dc.subject | Ab Derivative | en_US |
| dc.subject | Fixed-Point Theorem | en_US |
| dc.subject | Existence And Uniqueness | en_US |
| dc.subject | And Numerical Simulations | en_US |
| dc.title | Investigation of the Logarithmic-Kdv Equation Involving Mittag-Leffler Type Kernel With Atangana-Baleanu Derivative | en_US |
| dc.title | Investigation of the Logarithmic-Kdv Equation Involving Mittag-Leffler Type Kernel With Atangana-Baleanu Derivative | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Isa Aliyu, Aliyu/0000-0002-9756-7374 | |
| gdc.author.id | Yusuf, Abdullahi/0000-0002-8308-7943 | |
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| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Isa Aliyu, Aliyu/L-3765-2017 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey; [Yusuf, Abdullahi; Aliyu, Aliyu Isa] Fed Univ Dutse, Fac Sci, Dept Math, Jigawa 7156, Nigeria; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-1406530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.endpage | 531 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 520 | en_US |
| gdc.description.volume | 506 | en_US |
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| gdc.oaire.keywords | KdV equations (Korteweg-de Vries equations) | |
| gdc.oaire.keywords | and numerical simulations | |
| gdc.oaire.keywords | fixed-point theorem | |
| gdc.oaire.keywords | fractional logarithmic-KdV equation | |
| gdc.oaire.keywords | AB derivative | |
| gdc.oaire.keywords | existence and uniqueness | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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