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ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE

dc.contributor.authorAl-Qurashi, Maysaa
dc.contributor.authorRashid, Saima
dc.contributor.authorKaraca, Yeliz
dc.contributor.authorHammouch, Zakia
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-09T12:32:32Z
dc.date.available2022-03-09T12:32:32Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractA user-friendly approach depending on nonlocal kernel has been constituted in this study to model nonlocal behaviors of fractional differential and difference equations, which is known as a generalized proportional fractional operator in the Hilfer sense. It is deemed, for differentiable functions, by a fractional integral operator applied to the derivative of a function having an exponential function in the kernel. This operator generalizes a novel version of Cebysev-type inequality in two and three variables sense and furthers the result of existing literature as a particular case of the Cebysev inequality is discussed. Some novel special cases are also apprehended and compared with existing results. The outcome obtained by this study is very broad in nature and fits in terms of yielding an enormous number of relating results simply by practicing the proportionality indices included therein. Furthermore, the outcome of our study demonstrates that the proposed plans are of significant importance and computationally appealing to deal with comparable sorts of differential equations. Taken together, the results can serve as efficient and robust means for the purpose of investigating specific classes of integrodifferential equations.en_US
dc.description.publishedMonth8
dc.identifier.citationAl-Qurashi, Maysaa...et al. (2021). "ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE", Fractals-Complex Geometry Patterns and Scaling in Nature and Society, Vol. 29, No. 05.en_US
dc.identifier.doi10.1142/S0218348X21400272
dc.identifier.issue5en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5098
dc.identifier.volume29en_US
dc.language.isoenen_US
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling in Nature and Societyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectIntegral Inequalityen_US
dc.subjectGeneralized Proportional Fractional Operator in the Hilfer Senseen_US
dc.subjectCebySev Inequalityen_US
dc.subjectGeneralized Riemann–Liouville Fractional Integralen_US
dc.titleACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSEtr_TR
dc.titleAchieving More Precise Bounds Based on Double and Triple Integral as Proposed by Generalized Proportional Fractional Operators in the Hilfer Senseen_US
dc.typeArticleen_US
dspace.entity.typePublication

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