A new fractional analytical approach via a modified Riemann-Liouville derivative

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dc.contributor.authorKhan, Yasir
dc.contributor.authorWu, Qingbiao
dc.contributor.authorFaraz, Naeem
dc.contributor.authorYildirim, A.
dc.contributor.authorMadani, M.
dc.date.accessioned2019-10-27T21:41:08Z
dc.date.available2019-10-27T21:41:08Z
dc.date.issued2012
dc.departmentEge Üniversitesien_US
dc.description.abstractThis work suggests a new analytical technique called the fractional homotopy perturbation method (FHPM) for solving fractional differential equations of any fractional order. This method is based on He's homotopy perturbation method and the modified Riemann-Liouville derivative. The fractional differential equations are described in Jumarie's sense. The results from introducing a modified Riemann-Liouville derivative in the cases studied show the high accuracy, simplicity and efficiency of the approach. (C) 2011 Elsevier Ltd. All tights reserved.en_US
dc.identifier.doi10.1016/j.aml.2011.11.041
dc.identifier.endpage1346en_US
dc.identifier.issn0893-9659
dc.identifier.issn0893-9659en_US
dc.identifier.issue10en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1340en_US
dc.identifier.urihttps://doi.org/10.1016/j.aml.2011.11.041
dc.identifier.urihttps://hdl.handle.net/11454/46554
dc.identifier.volume25en_US
dc.identifier.wosWOS:000306872400019en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofApplied Mathematics Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional homotopy perturbation methoden_US
dc.subjectModified Riemann-Liouville fractional derivativesen_US
dc.subjectMittag-Leffler functionen_US
dc.titleA new fractional analytical approach via a modified Riemann-Liouville derivativeen_US
dc.typeArticleen_US

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