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New estimates considering the generalized proportional Hadamard fractional integral operators

dc.contributor.authorZhou, Shuang-Shuang
dc.contributor.authorRashid, Saima
dc.contributor.authorJarad, Fahd
dc.contributor.authorKalsoom, Humaira
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorID234808tr_TR
dc.date.accessioned2022-07-07T11:45:13Z
dc.date.available2022-07-07T11:45:13Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators. © 2020, The Author(s).en_US
dc.description.publishedMonth12
dc.identifier.citationZhou, Shuang-Shuang...et al. (2020). "New estimates considering the generalized proportional Hadamard fractional integral operators", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-02730-w
dc.identifier.issn1687-1839
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5714
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Calculusen_US
dc.subjectGeneralized Proportional Hadamard Fractional Integral Operatoren_US
dc.subjectGrüss Inequalityen_US
dc.subjectRiemann–Liouville Fractional Integral Operatoren_US
dc.titleNew estimates considering the generalized proportional Hadamard fractional integral operatorstr_TR
dc.titleNew Estimates Considering the Generalized Proportional Hadamard Fractional Integral Operatorsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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