Analytical Results for Positivity of Discrete Fractional Operators With Approximation of the Domain of Solutions
| 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.author | Mohammed, Pshtiwan Othman | |
| dc.date.accessioned | 2024-02-29T12:03:50Z | |
| dc.date.accessioned | 2025-09-18T12:05:04Z | |
| dc.date.available | 2024-02-29T12:03:50Z | |
| dc.date.available | 2025-09-18T12:05:04Z | |
| dc.date.issued | 2022 | |
| 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.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.issn | 1551-0018 | |
| dc.identifier.scopus | 2-s2.0-85130758261 | |
| dc.identifier.uri | https://doi.org/10.3934/mbe.2022343 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10509 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | Mathematical Biosciences and Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| 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 | en_US |
| dc.title | Analytical results for positivity of discrete fractional operators with approximation of the domain of solutions | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
| gdc.author.id | Elattar, Ehab/0000-0002-3966-2584 | |
| gdc.author.scopusid | 57192416276 | |
| gdc.author.scopusid | 36049459000 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 56524366100 | |
| gdc.author.scopusid | 36131132200 | |
| gdc.author.wosid | O'Regan, Donal/I-3184-2015 | |
| gdc.author.wosid | Elattar, Ehab/J-6362-2019 | |
| gdc.author.wosid | Hamed Hassanein, Yasser/Aad-7170-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Mohammed, Pshtiwan/Aaj-4673-2020 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 7283 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 7272 | en_US |
| gdc.description.volume | 19 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W4283332995 | |
| gdc.identifier.pmid | 35730306 | |
| gdc.identifier.wos | WOS:000800447900007 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.index.type | PubMed | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 0.0 | |
| gdc.oaire.influence | 2.4895952E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | numerical analysis | |
| gdc.oaire.keywords | Operator (biology) | |
| gdc.oaire.keywords | discrete fractional calculus | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Biochemistry | |
| gdc.oaire.keywords | Gene | |
| gdc.oaire.keywords | Nabla symbol | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | caputo-fabrizio fractional difference | |
| gdc.oaire.keywords | Biology | |
| gdc.oaire.keywords | Data mining | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Omega | |
| gdc.oaire.keywords | Domain (mathematical analysis) | |
| gdc.oaire.keywords | Ecology | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Exponential function | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | nabla positivity | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Nonlocal Partial Differential Equations and Boundary Value Problems | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Chemistry | |
| gdc.oaire.keywords | Combinatorics | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Mathematical physics | |
| gdc.oaire.keywords | FOS: Biological sciences | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Cardinality (data modeling) | |
| gdc.oaire.keywords | Repressor | |
| gdc.oaire.keywords | Transcription factor | |
| gdc.oaire.keywords | Type (biology) | |
| gdc.oaire.keywords | TP248.13-248.65 | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Monotonic function | |
| gdc.oaire.keywords | Biotechnology | |
| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Difference operators | |
| gdc.oaire.keywords | Caputo-Fabrizio fractional difference | |
| gdc.oaire.popularity | 1.7808596E-9 | |
| gdc.oaire.publicfunded | true | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.0 | |
| gdc.openalex.normalizedpercentile | 0.05 | |
| gdc.opencitations.count | 0 | |
| gdc.plumx.scopuscites | 1 | |
| gdc.scopus.citedcount | 1 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 0 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |