Fractal Rosenau-Burgers Equation
| dc.contributor.author | Golmankhaneh, Alireza Khalili | |
| dc.contributor.author | Karaagac, Berat | |
| dc.contributor.author | Jorgensen, Palle E. T. | |
| dc.contributor.author | Valdes, Juan E. Napoles | |
| dc.date.accessioned | 2026-01-30T18:35:06Z | |
| dc.date.available | 2026-01-30T18:35:06Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | This paper begins with a concise summary of fractal calculus, laying out the foundational concepts necessary for further analysis. We then introduce the fractal Rosenau-Burgers equation and present its analytical solution. Perturbation methods for solving this nonlinear fractal differential equation are developed and examined in detail. Building upon this framework, we investigate practical applications such as signal propagation in fractal transmission lines and transport phenomena in porous and fractal media. Additionally, we provide graphical illustrations of the solutions to demonstrate the effects of fractal spatial and temporal dimensions on these models. | en_US |
| dc.identifier.doi | 10.1007/s00033-025-02646-z | |
| dc.identifier.issn | 0044-2275 | |
| dc.identifier.issn | 1420-9039 | |
| dc.identifier.scopus | 2-s2.0-105026079135 | |
| dc.identifier.uri | https://doi.org/10.1007/s00033-025-02646-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/29671 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Int Publ Ag | en_US |
| dc.relation.ispartof | Zeitschrift Für Angewandte Mathematik Und Physik | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractal Calculus | en_US |
| dc.subject | Fractal Rosenau-Burgers Equation | en_US |
| dc.subject | Nonlinear Fractal Differential Equations | en_US |
| dc.subject | Fractal Space-Time Modeling | en_US |
| dc.title | Fractal Rosenau-Burgers Equation | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 57555731900 | |
| gdc.author.scopusid | 56809260200 | |
| gdc.author.scopusid | 55580299600 | |
| gdc.author.scopusid | 56495371500 | |
| gdc.author.wosid | Napoles-Valdes, Juan/Aax-9285-2021 | |
| gdc.author.wosid | Karaagac, Berat/E-6311-2019 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Golmankhaneh, Alireza Khalili] Islamic Azad Univ, Dept Phys, Ur C, Orumiyeh 63896, West Azerbaijan, Iran; [Golmankhaneh, Alireza Khalili] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye; [Karaagac, Berat] Tarsus Univ, Fac Engn, Dept Nat & Math Sci, Mersin, Turkiye; [Jorgensen, Palle E. T.] Univ Iowa, Dept Math, Iowa City, IA 52242 USA; [Valdes, Juan E. Napoles] Univ Nacl Nordeste, Fac Ciencias Exactas & Nat & Agrimensura, RA-3400 Corrientes Capital, Argentina | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 77 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:001649814100003 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |