Analytical results for positivity of discrete fractional operators with approximation of the domain of solutions
| dc.authorid | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
| dc.authorid | Elattar, Ehab/0000-0002-3966-2584 | |
| dc.authorscopusid | 57192416276 | |
| dc.authorscopusid | 36049459000 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 56524366100 | |
| dc.authorscopusid | 36131132200 | |
| dc.authorwosid | O'Regan, Donal/I-3184-2015 | |
| dc.authorwosid | Elattar, Ehab/J-6362-2019 | |
| dc.authorwosid | Hamed Hassanein, Yasser/Aad-7170-2022 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Mohammed, Pshtiwan/Aaj-4673-2020 | |
| dc.contributor.author | Mohammed, Pshtiwan Othman | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | O'Regan, Donal | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Hamed, Y. S. | |
| dc.contributor.author | Elattar, Ehab E. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2024-02-29T12:03:50Z | |
| dc.date.available | 2024-02-29T12:03:50Z | |
| dc.date.issued | 2022 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Mohammed, Pshtiwan Othman] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 46001, Kurdistan Regio, Iraq; [O'Regan, Donal] Natl Univ Ireland, Sch Math & Stat Sci, Galway, Ireland; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan; [Hamed, Y. S.] Taif Univ, Coll Sci, Dept Math & Stat, At Taif 21944, Saudi Arabia; [Elattar, Ehab E.] Taif Univ, Coll Engn, Dept Elect Engn, At Taif 21944, Saudi Arabia | en_US |
| dc.description | Mohammed, Pshtiwan/0000-0001-6837-8075; Elattar, Ehab/0000-0002-3966-2584 | en_US |
| dc.description.abstract | We study the monotonicity method to analyse nabla positivity for discrete fractional operators of Riemann-Liouville type based on exponential kernels, where ((CFR)(c0)del F-theta)(t) > -epsilon Lambda(theta - 1) (del F)(c(0) + 1) such that (del F)(c(0) + 1) >= 0 and epsilon > 0. Next, the positivity of the fully discrete fractional operator is analyzed, and the region of the solution is presented. Further, we consider numerical simulations to validate our theory. Finally, the region of the solution and the cardinality of the region are discussed via standard plots and heat map plots. The figures confirm the region of solutions for specific values of epsilon and theta. | 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.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citation | Mohammed, Pshtiwan Othman;...et.al. (2022). "Analytical results for positivity of discrete fractional operators with approximation of the domain of solutions", Mathematical Biosciences and Engineering, Vol.19, No.7, pp.7272-7283. | en_US |
| dc.identifier.doi | 10.3934/mbe.2022343 | |
| dc.identifier.endpage | 7283 | en_US |
| dc.identifier.issn | 1551-0018 | |
| dc.identifier.issue | 7 | en_US |
| dc.identifier.pmid | 35730306 | |
| dc.identifier.scopus | 2-s2.0-85130758261 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 7272 | en_US |
| dc.identifier.uri | https://doi.org/10.3934/mbe.2022343 | |
| dc.identifier.volume | 19 | en_US |
| dc.identifier.wos | WOS:000800447900007 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 0 | |
| dc.subject | Discrete Fractional Calculus | en_US |
| dc.subject | Caputo-Fabrizio Fractional Difference | en_US |
| dc.subject | Nabla Positivity | en_US |
| dc.subject | Numerical Analysis | en_US |
| dc.title | Analytical results for positivity of discrete fractional operators with approximation of the domain of solutions | tr_TR |
| dc.title | Analytical Results for Positivity of Discrete Fractional Operators With Approximation of the Domain of Solutions | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 0 | |
| dspace.entity.type | Publication | |
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