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

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Mohammed, Pshtiwan Othman
dc.contributor.author Srivastava, Hari Mohan
dc.contributor.author Al-Sarairah, Eman
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Hamed, Y.S.
dc.date.accessioned 2024-01-17T13:29:55Z
dc.date.available 2024-01-17T13:29:55Z
dc.date.issued 2023
dc.identifier.citation Baleanu, 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. tr_TR
dc.identifier.issn 10255834
dc.identifier.uri http://hdl.handle.net/20.500.12416/6907
dc.description.abstract In 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13660-023-02916-2 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 On convexity analysis for discrete delta Riemann–Liouville fractional differences analytically and numerically tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Inequalities and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2023 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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