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On convexity analysis for discrete delta Riemann–Liouville fractional differences analytically and numerically

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorAl-Sarairah, Eman
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorHamed, Y.S.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-01-17T13:29:55Z
dc.date.available2024-01-17T13:29:55Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we focus on the analytical and numerical convexity analysis of discrete delta Riemann–Liouville fractional differences. In the analytical part of this paper, we give a new formula for the discrete delta Riemann-Liouville fractional difference as an alternative definition. We establish a formula for the Δ 2, which will be useful to obtain the convexity results. We examine the correlation between the positivity of (w0RLΔαf)(t) and convexity of the function. In view of the basic lemmas, we define two decreasing subsets of (2 , 3 ) , Hk,ϵ and Mk,ϵ. The decrease of these sets allows us to obtain the relationship between the negative lower bound of (w0RLΔαf)(t) and convexity of the function on a finite time set Nw0P:={w0,w0+1,w0+2,…,P} for some P∈Nw0:={w0,w0+1,w0+2,…}. The numerical part of the paper is dedicated to examinin the validity of the sets Hk,ϵ and Mk,ϵ for different values of k and ϵ. For this reason, we illustrate the domain of solutions via several figures explaining the validity of the main theorem.en_US
dc.identifier.citationBaleanu, D.;...et.al. (2023). "On convexity analysis for discrete delta Riemann–Liouville fractional differences analytically and numerically", Journal of Inequalities and Applications, Vol.2023, no.1.en_US
dc.identifier.doi10.1186/s13660-023-02916-2
dc.identifier.issn10255834
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6907
dc.identifier.volume2023en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Inequalities and Applicationsen_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.titleOn convexity analysis for discrete delta Riemann–Liouville fractional differences analytically and numericallytr_TR
dc.titleOn Convexity Analysis for Discrete Delta Riemann–liouville Fractional Differences Analytically and Numericallyen_US
dc.typeArticleen_US
dspace.entity.typePublication

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