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dc.contributor.authorKurulay, Muhammet
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2019-01-04T14:36:27Z
dc.date.available2019-01-04T14:36:27Z
dc.date.issued2012-10-17
dc.identifier.issn1687-1839
dc.identifier.issn1687-1847
dc.identifier.urihttp://hdl.handle.net/11363/799
dc.description.abstractThis paper is a short description of our recent results on an important class of the so-called Mittag-Leffler functions, which became important as solutions of fractional order differential and integral equations, control systems and refined mathematical models of various physical, chemical, economical, management and bioengineering phenomena. We have studied the Mittag-Leffler functions as their typical representatives, including many interesting special cases that have already proven their usefulness in fractional calculus and its applications. We obtained a number of useful relationships between the Mittag-Leffler functions and the Wright functions. The Wright function plays an important role in the solution of a linear partial differential equation. The Wright function, which we denote by W(z;α,β), is so named in honor of Wright who introduced and investigated this function in a series of notes starting from 1933 in the framework of the asymptotic theory of partitions.en_US
dc.language.isoengen_US
dc.publisherSpringerOpenen_US
dc.relation.isversionofhttps://doi.org/10.1186/1687-1847-2012-181en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectResearch Subject Categories::TECHNOLOGYen_US
dc.titleSome properties of the Mittag-Leffler functions and their relation with the Wright functionsen_US
dc.typearticleen_US
dc.relation.journalAdvances in Difference Equationsen_US
dc.contributor.departmentİstanbul Gelişim Üniversitesien_US
dc.identifier.volume2012en_US
dc.identifier.issue1en_US
dc.relation.publicationcategoryKategori Yoken_US


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