Hyers-Ulam Stability on Local Fractal Calculus and Radioactive Decay
| dc.authorid | Sevli, Hamdullah/0009-0003-0258-031X | |
| dc.authorid | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
| dc.authorscopusid | 25122552100 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorscopusid | 15133029700 | |
| dc.authorwosid | Tunç, Cemil/Afh-0945-2022 | |
| dc.authorwosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
| dc.contributor.author | Golmankhaneh, Alireza Khalili | |
| dc.contributor.author | Tunc, Cemil | |
| dc.contributor.author | Sevli, Hamdullah | |
| dc.date.accessioned | 2025-05-10T17:14:49Z | |
| dc.date.available | 2025-05-10T17:14:49Z | |
| dc.date.issued | 2021 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Golmankhaneh, Alireza Khalili] Islamic Azad Univ, Dept Phys, Urmia Branch, Orumiyeh, Iran; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Sevli, Hamdullah] Van Yuzuncu Yil Univ, Fac Engn, Dept Comp Engn, TR-65080 Van, Turkey | en_US |
| dc.description | Sevli, Hamdullah/0009-0003-0258-031X; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | en_US |
| dc.description.abstract | In this paper, we summarize the local fractal calculus, called F-alpha-calculus, which defines derivatives and integrals of functions with fractal domains of non-integer dimensions, functions for which ordinary calculus fails. Hyers-Ulam stability provides a method to find approximate solutions for equations where the exact solution cannot be found. Here, we generalize Hyers-Ulam stability to be applied to oi-order linear fractal differential equations. The nuclear decay law involving fractal time is suggested, and it is proved to be fractally Hyers-Ulam stable. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1140/epjs/s11734-021-00316-5 | |
| dc.identifier.endpage | 3894 | en_US |
| dc.identifier.issn | 1951-6355 | |
| dc.identifier.issn | 1951-6401 | |
| dc.identifier.issue | 21-22 | en_US |
| dc.identifier.scopus | 2-s2.0-85118666255 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 3889 | en_US |
| dc.identifier.uri | https://doi.org/10.1140/epjs/s11734-021-00316-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/8449 | |
| dc.identifier.volume | 230 | en_US |
| dc.identifier.wos | WOS:000716299700001 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Hyers-Ulam Stability on Local Fractal Calculus and Radioactive Decay | en_US |
| dc.type | Article | en_US |