Solution of conformable fractional ordinary differential equations via differential transform method
Özet
Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in (Abdeljawad, 2015). In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations.
Anahtar Kelimeler
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15209Resmi atıflarda kullanılan kalıcı adresİndeks kayıtları
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.Atıflar
- Scopus
- 134
- WoS
- 116
- OpenAlex
- 140
Tam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Ünal, Emrah | |
| dc.contributor.author | Gökdoğan, Ahmet | |
| dc.date.accessioned | 2026-10-22T10:23:43.653658597Z | |
| dc.date.available | 2026-10-22T10:23:43.653658597Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in (Abdeljawad, 2015). In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations. | |
| dc.identifier.doi | 10.1016/j.ijleo.2016.10.031 | |
| dc.identifier.endpage | 273 | |
| dc.identifier.issn | 0030-4026 | |
| dc.identifier.scopus | 2-s2.0-84992058851 | |
| dc.identifier.startpage | 264 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/gumushane/15209 | |
| dc.identifier.volume | 128 | |
| dc.identifier.wos | WOS:000388050700034 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier GmbH | |
| dc.relation.ispartof | Optik | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Conformable fractional derivative | |
| dc.subject | Conformable fractional differential transform method | |
| dc.subject | Conformable fractional ordinary differential equations | |
| dc.subject | Fractional power series | |
| dc.subject.classification | Optics | |
| dc.subject.other | Differential equations | |
| dc.subject.other | Exponential functions | |
| dc.subject.other | Flow measurement | |
| dc.subject.other | Differential transform method | |
| dc.subject.other | Fractional derivatives | |
| dc.subject.other | Fractional differential | |
| dc.subject.other | Fractional differential equations | |
| dc.subject.other | Fractional power | |
| dc.subject.other | Gronwall's inequality | |
| dc.subject.other | Integration by parts | |
| dc.subject.other | Power series expansions | |
| dc.subject.other | Ordinary differential equations | |
| dc.title | Solution of conformable fractional ordinary differential equations via differential transform method | |
| dc.type | Article | |
| rdl.citation.openalex | 140 | |
| rdl.citation.scopus | 134 | |
| rdl.citation.wos | 116 | |
| rdl.oa.status | green | |
| rdl.oa.status | preprint | |
| rdl.oa.url | https://hdl.handle.net/20.500.12440/3753 | |
| rdl.scopus.quartile | Q2 | |
| rdl.source.index | SCOPUS | |
| rdl.source.index | WOS | |
| rdl.wos.index | Science Citation Index Expanded (SCI-EXPANDED) |
