Positivity Analysis for the Discrete Delta Fractional Differences of the Riemann-Liouville and Liouville-Caputo Types
| 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.author | Mohammed, Pshtiwan Othman | |
| dc.date.accessioned | 2024-05-08T08:23:41Z | |
| dc.date.accessioned | 2025-09-18T12:05:11Z | |
| dc.date.available | 2024-05-08T08:23:41Z | |
| dc.date.available | 2025-09-18T12:05:11Z | |
| dc.date.issued | 2022 | |
| dc.description | Elattar, Ehab/0000-0002-3966-2584; Mohammed, Pshtiwan/0000-0001-6837-8075 | 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.description.sponsorship | Taif University, Taif, Saudi Arabia [TURSP-2020/86] | en_US |
| dc.description.sponsorship | This work was supported by the Taif University Researchers Supporting Project Number (TURSP-2020/86), Taif University, Taif, Saudi Arabia. | 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.issn | 2688-1594 | |
| dc.identifier.scopus | 2-s2.0-85132504154 | |
| dc.identifier.uri | https://doi.org/10.3934/era.2022155 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10546 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | Electronic Research Archive | |
| 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 | en_US |
| dc.title | Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Elattar, Ehab/0000-0002-3966-2584 | |
| gdc.author.id | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
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| gdc.author.wosid | Elattar, Ehab/J-6362-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Srivastava, Hari/N-9532-2013 | |
| gdc.author.wosid | Hamed Hassanein, Yasser/Aad-7170-2022 | |
| gdc.author.wosid | Mohammed, Pshtiwan/Aaj-4673-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Mohammed, Pshtiwan Othman] Univ Sulaimani, Dept Math, Coll Educ, Sulaimani 46001, Kurdistan Regio, Iraq; [Srivastava, Hari Mohan] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada; [Srivastava, Hari Mohan] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Srivastava, Hari Mohan] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan; [Srivastava, Hari Mohan] Int Telemat Univ Uninettuno, Sect Math, I-00186 Rome, Italy; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Baleanu, Dumitru] Lebanese Amer Univ, Beirut 11022801, Lebanon; [Elattar, Ehab E.] Taif Univ, Dept Elect Engn, Coll Engn, POB 11099, Taif 21944, Saudi Arabia; [Hamed, Y. S.] Taif Univ, Dept Math & Stat, Coll Engn, POB 11099, Taif 21944, Saudi Arabia | en_US |
| gdc.description.endpage | 3070 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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