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Positivity analysis for mixed order sequential fractional difference operators

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dc.contributor.author Mohammed, Pshtiwan Othman
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Sahoo, Soubhagya Kumar
dc.contributor.author Abualnaja, Khadijah M.
dc.date.accessioned 2024-01-23T13:32:56Z
dc.date.available 2024-01-23T13:32:56Z
dc.date.issued 2023
dc.identifier.citation Mohammed, Pshtiwan Othman;...ET.AL. (2023). "Positivity analysis for mixed order sequential fractional difference operators", AIMS Mathematics, Vol.8, No.2, pp.2673-2685. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/6943
dc.description.abstract We 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2023140 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Analytical And Numerical Results tr_TR
dc.subject Convexity Analysis tr_TR
dc.subject Discrete Delta Riemann-Liouville Fractional Difference tr_TR
dc.subject Negative Lower Bound tr_TR
dc.title Positivity analysis for mixed order sequential fractional difference operators tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 2673 tr_TR
dc.identifier.endpage 2685 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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