Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types
dc.contributor.author | Mohammed, Pshtiwan Othman | |
dc.contributor.author | Srivastava, Hari Mohan | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Elattar, Ehab E. | |
dc.contributor.author | Hamed, Y. S. | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2024-05-08T08:23:41Z | |
dc.date.available | 2024-05-08T08:23:41Z | |
dc.date.issued | 2022 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In this article, we investigate some new positivity and negativity results for some families of discrete delta fractional difference operators. A basic result is an identity which will prove to be a useful tool for establishing the main results. Our first main result considers the positivity and negativity of the discrete delta fractional difference operator of the Riemann-Liouville type under two main conditions. Similar results are then obtained for the discrete delta fractional difference operator of the Liouville-Caputo type. Finally, we provide a specific example in which the chosen function becomes nonincreasing on a time set. | en_US |
dc.identifier.citation | Mohammed, Pshtiwan Othman;...et.al. (2022). "Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types", Electronic Research Archive, Vol.30, No.8, pp.3058-3070. | en_US |
dc.identifier.doi | 10.3934/era.2022155 | |
dc.identifier.endpage | 3070 | en_US |
dc.identifier.issn | 2688-1594 | |
dc.identifier.issue | 8 | en_US |
dc.identifier.startpage | 3058 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/8174 | |
dc.identifier.volume | 30 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Electronic Research Archive | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Discrete Fractional Calculus | en_US |
dc.subject | Discrete Riemann-Liouville Operators | en_US |
dc.subject | Discrete Liouville-Caputo Fractional Operators | en_US |
dc.subject | Monotonicity And Positivity | en_US |
dc.title | Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types | tr_TR |
dc.title | Positivity Analysis for the Discrete Delta Fractional Differences of the Riemann-Liouville and Liouville-Caputo Types | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |