New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel
| dc.authorid | Brzo, Aram/0000-0002-1257-9377 | |
| dc.authorid | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
| dc.authorscopusid | 57192416276 | |
| dc.authorscopusid | 35791985400 | |
| dc.authorscopusid | 57222022146 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 56524366100 | |
| 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 | Goodrich, Christopher S. | |
| dc.contributor.author | Brzo, Aram Bahroz | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Hamed, Yasser S. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2024-04-25T07:39:38Z | |
| dc.date.available | 2024-04-25T07:39:38Z | |
| 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; [Goodrich, Christopher S.] UNSW Sydney, Sch Math & Stat, Sydney, NSW 2052, Australia; [Brzo, Aram Bahroz] Univ Sulaimani, Coll Educ, Dept Phys, Sulaimani 46001, Kurdistan Regio, Iraq; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Math, Jeddah 21577, Saudi Arabia; [Hamed, Yasser S.] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, At Taif 21944, Saudi Arabia | en_US |
| dc.description | Brzo, Aram/0000-0002-1257-9377; Mohammed, Pshtiwan/0000-0001-6837-8075 | en_US |
| dc.description.abstract | This paper deals with studying monotonicity analysis for discrete fractional operators with Mittag-Leffler in kernel. The v-monotonicity definitions, namely v-(strictly) increasing and v-(strictly) decreasing, are presented as well. By examining the basic properties of the proposed discrete fractional operators together with v-monotonicity definitions, we find that the investigated discrete fractional operators will be v(2)-(strictly) increasing or v(2)-(strictly) decreasing in certain domains of the time scale Na:= {a, a + 1, ... }. Finally, the correctness of developed theories is verified by deriving mean value theorem in discrete fractional calculus. | en_US |
| dc.description.sponsorship | Taif University, Taif, Saudi Arabia [TURSP2020/155] | en_US |
| dc.description.sponsorship | This research was supported by Taif University Researchers Supporting Project (No. TURSP2020/155), Taif University, Taif, Saudi Arabia. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citation | Mohammed, Pshtiwan Othman;...et.al. "New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel", Mathematical Biosciences and Engineering, Vol.19, No.4, pp.4062-4074. | en_US |
| dc.identifier.doi | 10.3934/mbe.2022186 | |
| dc.identifier.endpage | 4074 | en_US |
| dc.identifier.issn | 1551-0018 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.pmid | 35341286 | |
| dc.identifier.scopus | 2-s2.0-85124794521 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 4062 | en_US |
| dc.identifier.uri | https://doi.org/10.3934/mbe.2022186 | |
| dc.identifier.volume | 19 | en_US |
| dc.identifier.wos | WOS:000755775400005 | |
| 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 | 8 | |
| dc.subject | Discrete Fractional Calculus | en_US |
| dc.subject | Nabla Ab-Fractional Operators | en_US |
| dc.subject | Monotonicity Investigation | en_US |
| dc.title | New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel | tr_TR |
| dc.title | New Classifications of Monotonicity Investigation for Discrete Operators With Mittag-Leffler Kernel | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 8 | |
| dspace.entity.type | Publication | |
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