On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative
MakaleAçık Erişim
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 adresTam 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.source.index | SCOPUS | |
| rdl.source.index | WOS | |
| rdl.wos.index | Emerging Sources Citation Index (ESCI) |
