Lyapunov Type Inequalities Via Fractional Proportional Derivatives and Application on the Free Zero Disc of Kilbas-Saigo Generalized Mittag-Leffler Functions
| dc.contributor.author | Alzabut, Jehad | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Mallak, Saed F. | |
| dc.date.accessioned | 2020-02-17T13:35:46Z | |
| dc.date.accessioned | 2025-09-18T13:27:01Z | |
| dc.date.available | 2020-02-17T13:35:46Z | |
| dc.date.available | 2025-09-18T13:27:01Z | |
| dc.date.issued | 2019 | |
| dc.description | Jarad, Fahd/0000-0002-3303-0623; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | en_US |
| dc.description.abstract | .In this article, we prove Lyapunov type inequalities for a nonlocal fractional derivative, called fractional proportional derivative, generated by modified conformable or proportional derivatives in both Riemann-Liuoville and Caputo senses. Further, in the Riemann-Liuoville case we prove a Lyapunov inequality for a fractional proportional weighted boundary value problem and apply it on a weighted Sturm-Liouville problem to estimate an upper bound for the free zero disk of the Kilbas-Saigo Mittag-Leffler functions of three parameters. The proven results generalize and modify previously obtained results in the literature. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The first and the fourth authors would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Abdeljawad, Thabet...et al. (2019). "Lyapunov type inequalities via fractional proportional derivatives and application on the free zero disc of Kilbas-Saigo generalized Mittag-Leffler functions", European Physical Journal Plus, Vol. 134, No. 5. | en_US |
| dc.identifier.doi | 10.1140/epjp/i2019-12772-1 | |
| dc.identifier.issn | 2190-5444 | |
| dc.identifier.scopus | 2-s2.0-85066487737 | |
| dc.identifier.uri | https://doi.org/10.1140/epjp/i2019-12772-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12796 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | The European Physical Journal Plus | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Lyapunov Type Inequalities Via Fractional Proportional Derivatives and Application on the Free Zero Disc of Kilbas-Saigo Generalized Mittag-Leffler Functions | en_US |
| dc.title | Lyapunov type inequalities via fractional proportional derivatives and application on the free zero disc of Kilbas-Saigo generalized Mittag-Leffler functions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
| gdc.author.id | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | |
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| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Alzabut, Prof. Dr. Jehad/T-8075-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet; Alzabut, Jehad] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Mallak, Saed F.] Palestine Tech Univ Kadoorie, Dept Appl Math, Tulkarm, West Bank, Palestine | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 134 | en_US |
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| gdc.virtual.author | Alzabut, Jehad | |
| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.virtual.author | Jarad, Fahd | |
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