Monotonicity Results for Nabla Riemann-Liouville Fractional Differences
| dc.contributor.author | Mohammed, Pshtiwan Othman | |
| dc.contributor.author | Srivastava, Hari Mohan | |
| dc.contributor.author | Balea, Itru | |
| dc.contributor.author | Jan, Rashid | |
| dc.contributor.author | Abualnaja, Khadijah M. | |
| dc.date.accessioned | 2025-05-09T20:39:14Z | |
| dc.date.available | 2025-05-09T20:39:14Z | |
| dc.date.issued | 2022 | |
| dc.description | Srivastava, Hari M./0000-0002-9277-8092; M. Abualnaja, Khadijah/0000-0002-2908-1807; Mohammed, Pshtiwan/0000-0001-6837-8075; Jan, Rashid/0000-0001-9709-7045 | en_US |
| dc.description.abstract | Positivity analysis is used with some basic conditions to analyse monotonicity across all discrete fractional disciplines. This article addresses the monotonicity of the discrete nabla fractional differences of the Riemann-Liouville type by considering the positivity of ((RL)(b0)del(theta)g)(z) combined with a condition on g(b(0)+2), g(b(0)+3) and g(b(0)+4), successively. The article ends with a relationship between the discrete nabla fractional and integer differences of the Riemann-Liouville type, which serves to show the monotonicity of the discrete fractional difference ((RL)(b0)del(theta)g)(z). | en_US |
| dc.identifier.doi | 10.3390/math10142433 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85136175360 | |
| dc.identifier.uri | https://doi.org/10.3390/math10142433 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9515 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Discrete Fractional Calculus | en_US |
| dc.subject | Discrete Nabla Riemann-Liouville Fractional Differences | en_US |
| dc.subject | Monotonicity Analysis | en_US |
| dc.title | Monotonicity Results for Nabla Riemann-Liouville Fractional Differences | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Srivastava, Hari M./0000-0002-9277-8092 | |
| gdc.author.id | M. Abualnaja, Khadijah/0000-0002-2908-1807 | |
| gdc.author.id | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
| gdc.author.id | Jan, Rashid/0000-0001-9709-7045 | |
| gdc.author.scopusid | 57192416276 | |
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| gdc.author.scopusid | 57207991954 | |
| gdc.author.wosid | Jan, Rashid/Acm-9351-2022 | |
| gdc.author.wosid | Abualnaja, Khadijah M./Afv-8226-2022 | |
| gdc.author.wosid | Srivastava, Hari M./N-9532-2013 | |
| 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, 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, AZ-1007 Baku, Azerbaijan; [Srivastava, Hari Mohan] Int Telemat Univ Uninettuno, Sect Math, I-00186 Rome, Italy; [Balea, Itru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Balea, Itru] Inst Space Sci, R-76900 Magurele, Romania; [Balea, Itru] Lebanese Amer Univ, Sch Arts & Sci, Dept Nat Sci, Beirut 11022801, Lebanon; [Jan, Rashid] Univ Swabi, Dept Math, Swabi 23430, Kpk, Pakistan; [Abualnaja, Khadijah M.] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia | en_US |
| gdc.description.issue | 14 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 2433 | |
| gdc.description.volume | 10 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | discrete nabla Riemann–Liouville fractional differences | |
| gdc.oaire.keywords | monotonicity analysis | |
| gdc.oaire.keywords | discrete fractional calculus; discrete nabla Riemann–Liouville fractional differences; monotonicity analysis | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | discrete fractional calculus | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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