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A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems

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dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAlzabut, Jehad
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2018-09-26T12:44:13Z
dc.date.available2018-09-26T12:44:13Z
dc.date.issued2016
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractIn this paper, we state and prove a new discrete q-fractional version of the Gronwall inequality. Based on this result, a particular version expressed by means of the q-Mittag-Leffler function is provided. To apply the proposed results, we prove the uniqueness and obtain an estimate for the solutions of nonlinear delay Caputo q-fractional difference system. We examine our results by providing a numerical example.en_US
dc.description.publishedMonth9
dc.identifier.citationAbdeljawad, T., Alzabut, J., Baleanu, D. (2016). A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems. Journal Of Inequalities Applications. http://dx.doi.org/ 10.1186/s13660-016-1181-2en_US
dc.identifier.doi10.1186/s13660-016-1181-2
dc.identifier.issn1029-242X
dc.identifier.urihttp://hdl.handle.net/20.500.12416/1796
dc.language.isoenen_US
dc.publisherSpringer International Publishingen_US
dc.relation.ispartofJournal Of Inequalities Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGeneralized Q-Fractional Gronwall Inequalityen_US
dc.subjectDelay Q-Fractional Difference Systemen_US
dc.subjectUniqueness Of Solutionen_US
dc.subjectEstimate For The Solutionen_US
dc.titleA generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systemstr_TR
dc.titleA Generalized Q-Fractional Gronwall Inequality and Its Applications To Nonlinear Delay Q-Fractional Difference Systemsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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