A Detailed Study on a New (2+1)-Dimensional Mkdv Equation Involving the Caputo-Fabrizio Time-Fractional Derivative
| dc.contributor.author | Mirzazadeh, M. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Hosseini, K. | |
| dc.contributor.author | Ilie, M. | |
| dc.date.accessioned | 2020-12-31T11:29:20Z | |
| dc.date.accessioned | 2025-09-18T14:10:06Z | |
| dc.date.available | 2020-12-31T11:29:20Z | |
| dc.date.available | 2025-09-18T14:10:06Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | The present article aims to present a comprehensive study on a nonlinear time-fractional model involving the Caputo-Fabrizio (CF) derivative. More explicitly, a new (2+1)-dimensional mKdV (2D-mKdV) equation involving the Caputo-Fabrizio time-fractional derivative is considered and an analytic approximation for it is retrieved through a systematic technique, called the homotopy analysis transform (HAT) method. Furthermore, after proving the Lipschitz condition for the kernel psi (x,y,t;u), the fixed-point theorem is formally utilized to demonstrate the existence and uniqueness of the solution of the new 2D-mKdV equation involving the CF time-fractional derivative. A detailed study finally is carried out to examine the effect of the Caputo-Fabrizio operator on the dynamics of the obtained analytic approximation. | en_US |
| dc.identifier.citation | Hosseini, K...et al. (2020). "A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02789-5 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85087425459 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02789-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13568 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mml:Mo Stretchy="False"(Mml:Mo Mml:Mn2Mml:Mn Mml:Mo+Mml:Mo Mml:Mn 1Mml:Mn Mml:Mo Stretchy="False")Mml:Mo-Dimensional Mkdv Equation | en_US |
| dc.subject | Caputo-Fabrizio Time-Fractional Derivative | en_US |
| dc.subject | Homotopy Analysis Transform Method | en_US |
| dc.subject | Analytic Approximation | en_US |
| dc.subject | Fixed-Point Theorem | en_US |
| dc.subject | Existence And Uniqueness Of The Solution | en_US |
| dc.title | A Detailed Study on a New (2+1)-Dimensional Mkdv Equation Involving the Caputo-Fabrizio Time-Fractional Derivative | en_US |
| dc.title | A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Hosseini, Kamyar/J-7345-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Mirzazadeh, Mohammad/Y-3202-2019 | |
| gdc.author.wosid | Ilie, Mousa/Aao-4295-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Hosseini, K.; Ilie, M.] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran; [Mirzazadeh, M.] Univ Guilan, Fac Technol & Engn, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran; [Baleanu, D.] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, R-76900 Magurele 76900, Romania | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
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| gdc.oaire.keywords | Homotopy analysis transform method | |
| gdc.oaire.keywords | ( 2 + 1 ) $(2 + 1)$ -dimensional mKdV equation | |
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| gdc.oaire.keywords | \((2 + 1)\)-dimensional mKdV equation | |
| gdc.oaire.keywords | Caputo-Fabrizio time-fractional derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | KdV equations (Korteweg-de Vries equations) | |
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