Inequalities of Trapezoidal Type Involving Generalized Fractional Integrals
| dc.contributor.author | Mohammed, Pshtiwan Othman | |
| dc.contributor.author | Zeng, Shengda | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2022-05-27T10:39:50Z | |
| dc.date.accessioned | 2025-09-18T14:10:13Z | |
| dc.date.available | 2022-05-27T10:39:50Z | |
| dc.date.available | 2025-09-18T14:10:13Z | |
| dc.date.issued | 2020 | |
| dc.description | Zeng, Shengda/0000-0003-1818-842X; Mohammed, Pshtiwan/0000-0001-6837-8075 | en_US |
| dc.description.abstract | During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for lambda(phi)-preinvexfunctions, which are differentiable and twice differentiable, are established. Then, by employing those results, we explore the new estimates on trapezoidal type inequalities for classical integral and Riemann-Liouville fractional integrals, respectively. Finally, we apply our new inequalities to construct inequalities involving moments of a continuous random variable. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Mohammed, Pshtiwan Othman; Zeng, Shengda (2020). "Inequalities of trapezoidal type involving generalized fractional integrals", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 2975-2984. | en_US |
| dc.identifier.doi | 10.1016/j.aej.2020.03.039 | |
| dc.identifier.issn | 1110-0168 | |
| dc.identifier.issn | 2090-2670 | |
| dc.identifier.uri | https://doi.org/10.1016/j.aej.2020.03.039 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13623 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Alexandria Engineering Journal | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Generalized Fractional Integral | en_US |
| dc.subject | Preinvex Function | en_US |
| dc.subject | Integral Inequalities | en_US |
| dc.title | Inequalities of Trapezoidal Type Involving Generalized Fractional Integrals | en_US |
| dc.title | Inequalities of trapezoidal type involving generalized fractional integrals | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Zeng, Shengda/0000-0003-1818-842X | |
| gdc.author.id | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Zeng, Shengda/Abm-7231-2022 | |
| gdc.author.wosid | Mohammed, Pshtiwan/Aaj-4673-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Mohammed, Pshtiwan Othman] Univ Sulaimani, Dept Math, Coll Educ, Sulaimani, Kurdistan Regio, Iraq; [Zeng, Shengda] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Guangxi, Peoples R China; [Zeng, Shengda] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-3034 Krakow, Poland | en_US |
| gdc.description.endpage | 2984 | 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.startpage | 2975 | en_US |
| gdc.description.volume | 59 | en_US |
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| gdc.oaire.keywords | integral inequalities | |
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| gdc.oaire.keywords | Engineering (General). Civil engineering (General) | |
| gdc.oaire.keywords | generalized fractional integral | |
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| gdc.oaire.keywords | preinvex function | |
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