New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator

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dc.contributor.authorTariq, Muhammad
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorShaikh, Abdul Ghafoor
dc.contributor.authorSahoo, Soubhagya Kumar
dc.contributor.authorKhedher, Khaled Mohamed
dc.contributor.authorGia, Tuan Nguye
dc.date.accessioned2022-02-01T11:34:04Z
dc.date.available2022-02-01T11:34:04Z
dc.date.issued2021en_US
dc.departmentEnstitüler, Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalıen_US
dc.description.abstractIt’s undeniably true that fractional calculus has been the focus point for numerous researchers in recent couple of years. The writing of the Caputo-Fabrizio fractional operator has been on many demonstrating and real-life issues. The main objective of our article is to improve integral inequalities of Hermite-Hadamard and Pachpatte type incorporating the concept of preinvexity with the Caputo-Fabrizio fractional integral operator. To further enhance the recently presented notion, we establish a new fractional equality for differentiable preinvex functions. Then employing this as an auxiliary result, some refinements of the Hermite-Hadamard type inequality are presented. Also, some applications to special means of our main findings are presented.en_US
dc.identifier.doi10.3934/math.2022191en_US
dc.identifier.endpage3455en_US
dc.identifier.issue3en_US
dc.identifier.startpage3440en_US
dc.identifier.urihttps://hdl.handle.net/11467/5178
dc.identifier.urihttps://doi.org/10.3934/math.2022191
dc.identifier.volume7en_US
dc.identifier.wosWOS:000727489400011en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherAIMS Pressen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - İdari Personel ve Öğrencien_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo-Fabrizio fractional integralen_US
dc.subjectPreinvex functionsen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectHolder inequalityen_US
dc.subjectPower-mean inequalityen_US
dc.titleNew fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operatoren_US
dc.typeArticleen_US

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