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Positivity analysis for mixed order sequential fractional difference operators

dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorSahoo, Soubhagya Kumar
dc.contributor.authorAbualnaja, Khadijah M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-01-23T13:32:56Z
dc.date.available2024-01-23T13:32:56Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe consider the positivity of the discrete sequential fractional operators( RL a0 +1∇ν1 defined on the set D1 (see (1.1) and Figure 1) and( RL a0 +2∇ν1 RL a0 ∇ν2 f) (τ) RL a0 ∇ν2 f) (τ) of mixed order defined on the set D2 (see (1.2) and Figure 2) for τ ∈ Na0 . By analysing the first sequential operator, we reach that (∇f )(τ)≧ 0, for each τ∈ Na0 +1. Besides, we obtain(∇ f)(3) ≧ 0 by analysing the second sequential operator. Furthermore, some conditions to obtain the proposed monotonicity results are summarized. Finally, two practical applications are provided to illustrate the efficiency of the main theorems.en_US
dc.identifier.citationMohammed, Pshtiwan Othman;...ET.AL. (2023). "Positivity analysis for mixed order sequential fractional difference operators", AIMS Mathematics, Vol.8, No.2, pp.2673-2685.en_US
dc.identifier.doi10.3934/math.2023140
dc.identifier.endpage2685en_US
dc.identifier.issn24736988
dc.identifier.issue2en_US
dc.identifier.startpage2673en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6943
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytical And Numerical Resultsen_US
dc.subjectConvexity Analysisen_US
dc.subjectDiscrete Delta Riemann-Liouville Fractional Differenceen_US
dc.subjectNegative Lower Bounden_US
dc.titlePositivity analysis for mixed order sequential fractional difference operatorstr_TR
dc.titlePositivity Analysis for Mixed Order Sequential Fractional Difference Operatorsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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