Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method
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Özet
In this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modified Riemann-Liouville derivative was obtained with the help of fractional variational iteration method (FVIM). A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for this equation. It is indicated that the solutions obtained by the FVIM are reliable and an effective method for strongly nonlinear partial equations with modified Riemann-Liouville derivative.
Anahtar Kelimeler
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15584Resmi atıflarda kullanılan kalıcı adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Merdan, M. | |
| dc.date.accessioned | 2026-10-22T10:24:13.268038433Z | |
| dc.date.available | 2026-10-22T10:24:13.268038433Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | In this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modified Riemann-Liouville derivative was obtained with the help of fractional variational iteration method (FVIM). A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for this equation. It is indicated that the solutions obtained by the FVIM are reliable and an effective method for strongly nonlinear partial equations with modified Riemann-Liouville derivative. | |
| dc.identifier.eissn | 2364-1819 | |
| dc.identifier.endpage | 92 | |
| dc.identifier.issn | 1028-6276 | |
| dc.identifier.issue | A1 | |
| dc.identifier.scopus | 2-s2.0-84874516642 | |
| dc.identifier.startpage | 83 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/gumushane/15584 | |
| dc.identifier.volume | 37 | |
| dc.identifier.wos | WOS:000209281500011 | |
| dc.language.iso | en | |
| dc.publisher | Shiraz University | |
| dc.relation.ispartof | Iranian Journal of Science and Technology, Transaction A: Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Fractional convection-diffusion equation | |
| dc.subject | Fractional variational iteration method | |
| dc.subject | Riemann-Liouville derivative | |
| dc.subject.classification | Multidisciplinary Sciences | |
| dc.subject.classification | Science & Technology - Other Topics | |
| dc.title | Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.scopus | 15 | |
| rdl.citation.wos | 15 | |
| rdl.oa.status | closed | |
| rdl.scopus.quartile | Q2 | |
| rdl.source.index | SCOPUS | |
| rdl.source.index | WOS | |
| rdl.wos.index | Science Citation Index Expanded (SCI-EXPANDED) |
