Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation
In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. This equation is useable to describe the physical processes of models possessing memory. By applying classical and nonclassical Lie symmetry analysis for the telegraph...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2023/1294070 |
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| author | Ramin Najafi Ercan Çelik Neslihan Uyanık |
| author_facet | Ramin Najafi Ercan Çelik Neslihan Uyanık |
| author_sort | Ramin Najafi |
| collection | DOAJ |
| description | In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. This equation is useable to describe the physical processes of models possessing memory. By applying classical and nonclassical Lie symmetry analysis for the telegraph equation with α,β time-fractional derivatives and some technical computations, new infinitesimal generators are obtained. The actual methods give some classical symmetries while the nonclassical approach will bring back other symmetries to these equations. The similarity reduction and conservation laws to the fractional telegraph equation are found. |
| format | Article |
| id | doaj-art-155ee89d526a4ebba7cce2b6d2be43e8 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-155ee89d526a4ebba7cce2b6d2be43e82025-02-03T06:43:03ZengWileyAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/1294070Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph EquationRamin Najafi0Ercan Çelik1Neslihan Uyanık2Department of MathematicsDepartment of Applied Mathematics and InformaticsDepartment of Mathematics and Science EducationIn this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. This equation is useable to describe the physical processes of models possessing memory. By applying classical and nonclassical Lie symmetry analysis for the telegraph equation with α,β time-fractional derivatives and some technical computations, new infinitesimal generators are obtained. The actual methods give some classical symmetries while the nonclassical approach will bring back other symmetries to these equations. The similarity reduction and conservation laws to the fractional telegraph equation are found.http://dx.doi.org/10.1155/2023/1294070 |
| spellingShingle | Ramin Najafi Ercan Çelik Neslihan Uyanık Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation Advances in Mathematical Physics |
| title | Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation |
| title_full | Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation |
| title_fullStr | Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation |
| title_full_unstemmed | Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation |
| title_short | Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation |
| title_sort | invariant solutions and conservation laws of the time fractional telegraph equation |
| url | http://dx.doi.org/10.1155/2023/1294070 |
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