Some Modifications in Conformable Fractional Integral Inequalities
| dc.contributor.author | Mohammed, Pshtiwan Othman | |
| dc.contributor.author | Vivas-Cortez, Miguel | |
| dc.contributor.author | Rangel-Oliveros, Yenny | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-12-31T11:28:47Z | |
| dc.date.accessioned | 2025-09-18T12:09:07Z | |
| dc.date.available | 2020-12-31T11:28:47Z | |
| dc.date.available | 2025-09-18T12:09:07Z | |
| dc.date.issued | 2020 | |
| dc.description | Rangel Oliveros, Yenny Carolina/0000-0003-1480-1354; Vivas-Cortez, Miguel/0000-0002-1567-0264; Mohammed, Pshtiwan/0000-0001-6837-8075 | en_US |
| dc.description.abstract | The prevalence of the use of integral inequalities has dramatically influenced the evolution of mathematical analysis. The use of these useful tools leads to faster advances in the presentation of fractional calculus. This article investigates the Hermite-Hadamard integral inequalities via the notion of F-convexity. After that, we introduce the notion of F-mu-convexity in the context of conformable operators. In view of this, we establish some Hermite-Hadamard integral inequalities (both trapezoidal and midpoint types) and some special case of those inequalities as well. Finally, we present some examples on special means of real numbers. Furthermore, we offer three plot illustrations to clarify the results. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2020). "Some modifications in conformable fractional integral inequalities", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02837-0 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85088402435 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02837-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11319 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Integral Inequality | en_US |
| dc.subject | Conformable Operator | en_US |
| dc.subject | Convex Functions | en_US |
| dc.title | Some Modifications in Conformable Fractional Integral Inequalities | en_US |
| dc.title | Some modifications in conformable fractional integral inequalities | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Rangel Oliveros, Yenny Carolina/0000-0003-1480-1354 | |
| gdc.author.id | Vivas-Cortez, Miguel/0000-0002-1567-0264 | |
| gdc.author.id | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Vivas-Cortez, Miguel/Aac-9992-2019 | |
| 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, MG-23, R-76900 Magurele, Romania; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan; [Mohammed, Pshtiwan Othman] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Kurdistan Regio, Iraq; [Vivas-Cortez, Miguel; Rangel-Oliveros, Yenny] Pontificia Univ Catolica Ecuador, Fac Ciencias Exactas & Nat, Escuela Ciencias Fis & Matemat, Quito, Ecuador | en_US |
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