Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation
| dc.contributor.author | Iskenderoglu, Gulistan | |
| dc.contributor.author | Kaya, Doğan | |
| dc.date.accessioned | 2021-01-25T21:48:10Z | |
| dc.date.available | 2021-01-25T21:48:10Z | |
| dc.date.issued | 2019 | |
| dc.department | İstanbul Ticaret Üniversitesi | en_US |
| dc.description.abstract | Many physical phenomena in nature can be described or modeled via a differential equation or a system of differential equations. In this work, we restrict our attention to research a solution of fractional nonlinear generalized Burgers’ differential equations. Thereby we find some exact solutions for the nonlinear generalized Burgers’ differential equation with a fractional derivative, which has domain as $\mathbb{R}^2$ ×$\mathbb{R}^+$. Here we use the Lie groups method. After applying the Lie groups to the boundary value problem we get the partial differential equations on the domain $\mathbb{R}^2$ with reduced boundary and initial conditions. Also, we find conservation laws for the nonlinear generalized Burgers’ differential equation. | en_US |
| dc.identifier.doi | 10.33401/fujma.598107 | en_US |
| dc.identifier.endpage | 147 | en_US |
| dc.identifier.issn | 2645-8845 | |
| dc.identifier.issn | 2645-8845 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 139 | en_US |
| dc.identifier.trdizinid | 355583 | en_US |
| dc.identifier.uri | https://doi.org10.33401/fujma.598107 | |
| dc.identifier.uri | https://app.trdizin.gov.tr/makale/TXpVMU5UZ3pNdz09 | |
| dc.identifier.uri | https://hdl.handle.net/11467/4544 | |
| dc.identifier.volume | 2 | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Fundamental journal of mathematics and applications (Online) | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Symmetry Analysis and Conservation Laws of the Boundary Value Problems for Time-Fractional Generalized Burgers’ Differential Equation | en_US |
| dc.type | Article | en_US |
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