Existence and uniqueness theorems for sequential linear conformable fractional differential equations
MakaleAçık Erişim
Özet
Recently, a new definition of fractional derivative called as the conformable fractional derivative which based on limits introduced by Khalil et al (2014). Later, Abdeljawad (2015) improved these definitions and gave the basic concepts in this new fractional calculus. In this paper, we generalize Abel's formula and Wronskian determinant definition and establish existence and uniqueness theorems for sequential linear conformable fractional differential equations.
Anahtar Kelimeler
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15224Resmi atıflarda kullanılan kalıcı adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Gökdoğan, Ahmet | |
| dc.contributor.author | Ünal, Emrah | |
| dc.contributor.author | Çelik, Ercan | |
| dc.date.accessioned | 2026-10-22T10:23:44.864223702Z | |
| dc.date.available | 2026-10-22T10:23:44.864223702Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | Recently, a new definition of fractional derivative called as the conformable fractional derivative which based on limits introduced by Khalil et al (2014). Later, Abdeljawad (2015) improved these definitions and gave the basic concepts in this new fractional calculus. In this paper, we generalize Abel's formula and Wronskian determinant definition and establish existence and uniqueness theorems for sequential linear conformable fractional differential equations. | |
| dc.identifier.doi | 10.18514/mmn.2016.1635 | |
| dc.identifier.eissn | 1787-2413 | |
| dc.identifier.endpage | 279 | |
| dc.identifier.issn | 1787-2405 | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-85010376222 | |
| dc.identifier.startpage | 267 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/gumushane/15224 | |
| dc.identifier.volume | 17 | |
| dc.identifier.wos | WOS:000390602900021 | |
| dc.language.iso | en | |
| dc.publisher | University of Miskolc | |
| dc.relation.ispartof | Miskolc Mathematical Notes | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Conformable fractional derivative | |
| dc.subject | Existence and uniqueness theorems | |
| dc.subject | Sequential linear fractional differential equations | |
| dc.subject.classification | Mathematics | |
| dc.title | Existence and uniqueness theorems for sequential linear conformable fractional differential equations | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.openalex | 40 | |
| rdl.citation.scopus | 27 | |
| rdl.citation.wos | 26 | |
| rdl.oa.status | gold | |
| rdl.oa.url | http://mat76.mat.uni-miskolc.hu/mnotes/download_article/1635.pdf | |
| rdl.source.index | SCOPUS | |
| rdl.source.index | WOS | |
| rdl.wos.index | Science Citation Index Expanded (SCI-EXPANDED) |
