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 & alpha;,& beta; 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.
Publication Name (dc.title) | Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation |
Author/s (dc.contributor.yazarlar) | Ramin Najafi, Ercan Çelik, Neslihan Uyanık |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2023 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Advances in Mathematical Physics |
Volume/Issue (dc.identifier.volume) | 2023 |
Page (dc.identifier.startpage) | Article Number: 1294070 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 1687-9120; Online ISSN: 1687-9139 |
Publisher (dc.publisher) | Hindawi Publishing Corporation |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Hindawi |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 1,2 / 2022-WOS / Son 5 yıl: 1,2 |
Abstract (dc.description.abstract) | 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 & alpha;,& beta; 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. |
URL (dc.rights) | https://www.hindawi.com/journals/amp/2023/1294070/ |
DOI (dc.identifier.doi) | 10.1155/2023/1294070 |
Faculty / Institute (dc.identifier.fakulte) | Fen Fakültesi |
Department (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Author(s) in the Institution (dc.contributor.author) | Ercan ÇELİK |
Kayıt No (dc.identifier.kayitno) | BL2528D8DB |
Record Add Date (dc.date.available) | 2023-09-27 |
Notes (Publication year) (dc.identifier.notyayinyili) | August 2023 |
Wos No (dc.identifier.wos) | WOS:001065031500001 |