Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method

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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.

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dc.contributor.authorMerdan, M.
dc.date.accessioned2026-10-22T10:24:13.268038433Z
dc.date.available2026-10-22T10:24:13.268038433Z
dc.date.issued2013
dc.description.abstractIn 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.eissn2364-1819
dc.identifier.endpage92
dc.identifier.issn1028-6276
dc.identifier.issueA1
dc.identifier.scopus2-s2.0-84874516642
dc.identifier.startpage83
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15584
dc.identifier.volume37
dc.identifier.wosWOS:000209281500011
dc.language.isoen
dc.publisherShiraz University
dc.relation.ispartofIranian Journal of Science and Technology, Transaction A: Science
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFractional convection-diffusion equation
dc.subjectFractional variational iteration method
dc.subjectRiemann-Liouville derivative
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.titleAnalytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus15
rdl.citation.wos15
rdl.oa.statusclosed
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)