Analysis of a derivative with two variable orders
| dc.contributor.author | Atangana, Abdon | |
| dc.contributor.author | Akgul, Ali | |
| dc.date.accessioned | 2024-12-24T19:34:00Z | |
| dc.date.available | 2024-12-24T19:34:00Z | |
| dc.date.issued | 2022 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this paper, we investigate a derivative with the two variable orders. The first one shows the variable order fractal dimension and the second one presents the fractional order. We consider these derivatives with the power law kernel, exponential decay kernel and Mittag-Leffler kernel. We give the theory of this derivative in details. We also present the numerical approximation. The results we obtained in this work are very useful for researchers to improve many things for fractal fractional derivative with two variable orders. | |
| dc.identifier.doi | 10.3934/math.2022406 | |
| dc.identifier.endpage | 7293 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.issue | 5 | |
| dc.identifier.scopus | 2-s2.0-85124354760 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 7274 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2022406 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/8379 | |
| dc.identifier.volume | 7 | |
| dc.identifier.wos | WOS:000755158800001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Amer Inst Mathematical Sciences-Aims | |
| dc.relation.ispartof | Aims Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | fractal fractional derivative | |
| dc.subject | two variables order | |
| dc.subject | theory and applications | |
| dc.title | Analysis of a derivative with two variable orders | |
| dc.type | Article |
