Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3655
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dc.contributor.authorZhou, Shuang-Shuang-
dc.contributor.authorRashid, Saima-
dc.contributor.authorSet, Erhan-
dc.contributor.authorAhmad, Abdulaziz Garba-
dc.contributor.authorHamed, Y. S.-
dc.date.accessioned2023-01-06T12:13:23Z-
dc.date.available2023-01-06T12:13:23Z-
dc.date.issued2021-
dc.identifier.citationZhou, SS., Rashid, S., Set, E., Ahmad, AG., Hamed, YS. (2021). On more general inequalities for weighted generalized proportional Hadamard fractional integral operator with applications. Aims Mathematics, 6(9), 9154-9176.Doi:10.3934/math.2021532en_US
dc.identifier.isbn2473-6988-
dc.identifier.urihttp://dx.doi.org/10.3934/math.2021532-
dc.identifier.urihttps://www.webofscience.com/wos/woscc/full-record/WOS:000685892800003-
dc.identifier.urihttp://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3655-
dc.descriptionWoS Categories : Mathematics, Applied; Mathematics Web of Science Index : Science Citation Index Expanded (SCI-EXPANDED) Research Areas : Mathematics Open Access Designations : golden_US
dc.description.abstractFractional calculus has been the target of the work of many mathematicians for more than a century. Some of these investigations are of inequalities and fractional integral operators. In this article, a novel fractional operator which is known as weighted generalized proportional Hadamard fractional operator with unknown attribute weight is proposed. First, a fractional formulation is constructed, which covers a subjective list of operators. With the aid of the above mentioned operators, numerous notable versions of Polya-Szego, Chebyshev and certain related variants are established. Meanwhile, new outcomes are introduced and new theorems are exhibited. Taking into account the novel generalizations, our consequences have a potential association with the previous results. Furthermore, we demonstrate the applications of new operator with numerous integral inequalities by inducing assumptions on weight function pi and proportionality index phi. It is hoped that this research demonstrates that the suggested technique is efficient, computationally, very user-friendly and accurate.en_US
dc.description.sponsorshipFunding Orgs : Natural Science Foundation of China [61673169, 11601140]; Taif University, Taif, Saudi Arabia [TURSP2020/155]; Scientific Research Fund of Hunan Provincial Education Department [16B047] Funding Name Preferred : Natural Science Foundation of China(National Natural Science Foundation of China (NSFC)); Taif University, Taif, Saudi Arabia; Scientific Research Fund of Hunan Provincial Education Department(Hunan Provincial Education Department) Funding Text : The authors would like to express their sincere thanks to referees for improving the article and also thanks to Natural Science Foundation of China (Grant Nos. 61673169) for providing financial assistance to support this research. The authors would like ten_US
dc.language.isoengen_US
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMS SPRINGFIELDen_US
dc.relation.isversionof10.3934/math.2021532en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPOLYA-SZEGO; CALCULUS THEORYen_US
dc.subjectweighted generalized proportional Hadamard fractional integrals; weighted Chebyshev inequality; Polya-Szego type inequality; Cauchy Schwartz inequalityen_US
dc.titleOn more general inequalities for weighted generalized proportional Hadamard fractional integral operator with applicationsen_US
dc.typearticleen_US
dc.relation.journalAIMS MATHEMATICSen_US
dc.contributor.departmentOrdu Üniversitesien_US
dc.contributor.authorID0000-0002-0365-0282en_US
dc.contributor.authorID0000-0002-2999-7751en_US
dc.identifier.volume6en_US
dc.identifier.issue9en_US
dc.identifier.startpage9154en_US
dc.identifier.endpage9176en_US
Appears in Collections:Matematik

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