On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative
Özet
Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville derivative. A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations. The behavior of the solutions and the effects of different values of fractional order α are indicated graphically. The results obtained by the FVIM reveal that the method is very reliable, convenient, and effective method for nonlinear differential equations with modified Riemann-Liouville derivative
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15348Resmi atıflarda kullanılan kalıcı adresAtıflar
- Scopus
- 46
- WoS
- 31
- OpenAlex
- 49
Tam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Merdan, Mehmet | |
| dc.date.accessioned | 2026-10-22T10:23:54.418587750Z | |
| dc.date.available | 2026-10-22T10:23:54.418587750Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville derivative. A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations. The behavior of the solutions and the effects of different values of fractional order α are indicated graphically. The results obtained by the FVIM reveal that the method is very reliable, convenient, and effective method for nonlinear differential equations with modified Riemann-Liouville derivative | |
| dc.identifier.articlenumber | 346089 | |
| dc.identifier.doi | 10.1155/2012/346089 | |
| dc.identifier.eissn | 1687-9651 | |
| dc.identifier.issn | 1687-9651 | |
| dc.identifier.scopus | 2-s2.0-84880142334 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/gumushane/15348 | |
| dc.identifier.volume | 2012 | |
| dc.identifier.wos | WOS:000214963600007 | |
| dc.language.iso | en | |
| dc.publisher | HINDAWI LTD | |
| dc.relation.ispartof | International Journal of Differential Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject.classification | Mathematics, Applied | |
| dc.subject.classification | Mathematics | |
| dc.subject.other | VARIATIONAL ITERATION METHOD | |
| dc.subject.other | HOMOTOPY PERTURBATION METHOD | |
| dc.subject.other | GROWTH | |
| dc.subject.other | MODELS | |
| dc.title | On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.openalex | 49 | |
| rdl.citation.scopus | 46 | |
| rdl.citation.wos | 31 | |
| rdl.oa.status | gold | |
| rdl.oa.url | https://downloads.hindawi.com/journals/ijde/2012/346089.pdf | |
| rdl.scopus.quartile | Q3 | |
| rdl.source.index | SCOPUS | |
| rdl.source.index | WOS | |
| rdl.wos.index | Emerging Sources Citation Index (ESCI) |
