Relationships between the discrete Riemann-Liouville and Liouville-Caputo fractional differences and their associated convexity results
| dc.authorid | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
| dc.authorscopusid | 6603257448 | |
| dc.authorscopusid | 57192416276 | |
| dc.authorscopusid | 23152241800 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 57824434600 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Guirao, Juan/C-5189-2014 | |
| dc.authorwosid | Srivastava, Hari/N-9532-2013 | |
| dc.authorwosid | Mohammed, Pshtiwan/Aaj-4673-2020 | |
| dc.contributor.author | Guirao, Juan L. G. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Mohammed, Pshtiwan Othman | |
| dc.contributor.author | Srivastava, Hari Mohan | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Abualrub, Marwan S. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2024-05-14T08:07:29Z | |
| dc.date.available | 2024-05-14T08:07:29Z | |
| dc.date.issued | 2022 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Guirao, Juan L. G.] Univ Politecn Cartagena, Dept Matemaca Aplicada & Estadist, Cartagena 30202, Spain; [Guirao, Juan L. G.] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia; [Mohammed, Pshtiwan Othman] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 46001, 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, Baku 1007, 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, Sch Arts & Sci, Dept Nat Sci, Beirut 11022, Lebanon; [Abualrub, Marwan S.] Khalifa Univ, Fac Sci, Math Dept 11, Prep Program, POB 127788, Abu Dhabi, U Arab Emirates | en_US |
| dc.description | Mohammed, Pshtiwan/0000-0001-6837-8075 | en_US |
| dc.description.abstract | In this study, we have presented two new alternative definitions corresponding to the basic definitions of the discrete delta and nabla fractional difference operators. These definitions and concepts help us in establishing a relationship between Riemann-Liouville and Liouville-Caputo fractional differences of higher orders for both delta and nabla operators. We then propose and analyse some convexity results for the delta and nabla fractional differences of the Riemann-Liouville type. We also derive similar results for the delta and nabla fractional differences of Liouville-Caputo type by using the proposed relationships. Finally, we have presented two examples to confirm the main theorems. | en_US |
| dc.description.sponsorship | Institutional Fund Projects [IFPHI228- 130-2020]; Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia | en_US |
| dc.description.sponsorship | This research work was funded by the Institutional Fund Projects under grant No. (IFPHI228- 130-2020) . The authors gratefully acknowledge technical and financial support from the Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citation | Guirao, Juan L. G.;...et.al. (2022). "Relationships between the discrete Riemann-Liouville and Liouville-Caputo fractional differences and their associated convexity results", AIMS Mathematics, Vol.7, No.10, pp.18127-18141. | en_US |
| dc.identifier.doi | 10.3934/math.2022997 | |
| dc.identifier.endpage | 18141 | en_US |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-85135596012 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 18127 | en_US |
| dc.identifier.uri | https://doi.org/10.3934/math.2022997 | |
| dc.identifier.volume | 7 | en_US |
| dc.identifier.wos | WOS:000855048900002 | |
| dc.identifier.wosquality | Q1 | |
| 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 | 15 | |
| dc.subject | Riemann-Liouville Fractional Difference | en_US |
| dc.subject | Liouville-Caputo Fractional Difference | en_US |
| dc.subject | Convexity Analysis | en_US |
| dc.title | Relationships between the discrete Riemann-Liouville and Liouville-Caputo fractional differences and their associated convexity results | tr_TR |
| dc.title | Relationships Between the Discrete Riemann-Liouville and Liouville-Caputo Fractional Differences and Their Associated Convexity Results | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 14 | |
| dspace.entity.type | Publication | |
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