Some Generalized Fractional Integral Inequalities With Nonsingular Function as a Kernel
| dc.contributor.author | Ali, Rana Safdar | |
| dc.contributor.author | Nayab, Iqra | |
| dc.contributor.author | Rahman, Gauhar | |
| dc.contributor.author | Nisar, Kottakkaran Sooppy | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Mubeen, Shahid | |
| dc.date.accessioned | 2023-01-12T06:48:48Z | |
| dc.date.accessioned | 2025-09-18T12:09:54Z | |
| dc.date.available | 2023-01-12T06:48:48Z | |
| dc.date.available | 2025-09-18T12:09:54Z | |
| dc.date.issued | 2021 | |
| dc.description | Rahman, Gauhar/0000-0002-2728-7537 | en_US |
| dc.description.abstract | Integral inequalities play a key role in applied and theoretical mathematics. The purpose of inequalities is to develop mathematical techniques in analysis. The goal of this paper is to develop a fractional integral operator having a non-singular function (generalized multi-index Bessel function) as a kernel and then to obtain some significant inequalities like Hermit Hadamard Mercer inequality, exponentially (s - m)-preinvex inequalities, Polya-Szego and Chebyshev type integral inequalities with the newly developed fractional operator. These results describe in general behave and provide the extension of fractional operator theory (FOT) in inequalities. | en_US |
| dc.identifier.citation | Mubeen, Shahid...et al. (2021). "Some generalized fractional integral inequalities with nonsingular function as a kernel", AIMS MATHEMATICS, Vol. 6, No. 4, pp. 3352-337. | en_US |
| dc.identifier.doi | 10.3934/math.2021201 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85099566342 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2021201 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11553 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Convexity | en_US |
| dc.subject | Generalized Multi-Index Bessel Function | en_US |
| dc.subject | Inequalities And Integral Operators | en_US |
| dc.subject | Fractional Derivatives And Integrals | en_US |
| dc.title | Some Generalized Fractional Integral Inequalities With Nonsingular Function as a Kernel | en_US |
| dc.title | Some generalized fractional integral inequalities with nonsingular function as a kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Rahman, Gauhar/0000-0002-2728-7537 | |
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| gdc.author.wosid | Mubeen, Shahid/K-8622-2019 | |
| gdc.author.wosid | Nisar, Kottakkaran/F-7559-2015 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Rahman, Dr. Gauhar/Abb-2899-2020 | |
| gdc.author.wosid | Rahman, Gauhar/Aap-7213-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Mubeen, Shahid; Ali, Rana Safdar] Univ Sargodha, Dept Math, Sargodha, Pakistan; [Nayab, Iqra] Univ Lahore, Dept Math, Lahore, Pakistan; [Rahman, Gauhar] Hazara Univ, Dept Math & Stat, Mansehra, Pakistan; [Nisar, Kottakkaran Sooppy] Prince Sattam bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawser 11991, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan | en_US |
| gdc.description.endpage | 3377 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 3352 | en_US |
| gdc.description.volume | 6 | en_US |
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