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Some generalized fractional integral inequalities with nonsingular function as a kernel

dc.authorid Rahman, Gauhar/0000-0002-2728-7537
dc.authorscopusid 36680605400
dc.authorscopusid 57218916624
dc.authorscopusid 57218488226
dc.authorscopusid 56167532300
dc.authorscopusid 56715663200
dc.authorscopusid 7005872966
dc.authorwosid Mubeen, Shahid/K-8622-2019
dc.authorwosid Nisar, Kottakkaran/F-7559-2015
dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.authorwosid Rahman, Dr. Gauhar/Abb-2899-2020
dc.authorwosid Rahman, Gauhar/Aap-7213-2021
dc.contributor.author Mubeen, Shahid
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.authorID 56389 tr_TR
dc.contributor.other Matematik
dc.date.accessioned 2023-01-12T06:48:48Z
dc.date.available 2023-01-12T06:48:48Z
dc.date.issued 2021
dc.department Çankaya University en_US
dc.department-temp [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
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.description.woscitationindex Science Citation Index Expanded
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.endpage 3377 en_US
dc.identifier.issn 2473-6988
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-85099566342
dc.identifier.scopusquality Q1
dc.identifier.startpage 3352 en_US
dc.identifier.uri https://doi.org/10.3934/math.2021201
dc.identifier.volume 6 en_US
dc.identifier.wos WOS:000672862500008
dc.identifier.wosquality Q1
dc.institutionauthor Baleanu, Dumitru
dc.language.iso en en_US
dc.publisher Amer inst Mathematical Sciences-aims en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 8
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 tr_TR
dc.title Some Generalized Fractional Integral Inequalities With Nonsingular Function as a Kernel en_US
dc.type Article en_US
dc.wos.citedbyCount 5
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery f4fffe56-21da-4879-94f9-c55e12e4ff62
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