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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

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dc.contributor.author Al-Qurashi, Maysaa
dc.contributor.author Rashid, Saima
dc.contributor.author Karaca, Yeliz
dc.contributor.author Hammouch, Zakia
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Chu, Yu-Ming
dc.date.accessioned 2022-03-09T12:32:32Z
dc.date.available 2022-03-09T12:32:32Z
dc.date.issued 2021-08
dc.identifier.citation Al-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. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/5098
dc.description.abstract A 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/S0218348X21400272 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Integral Inequality tr_TR
dc.subject Generalized Proportional Fractional Operator in the Hilfer Sense tr_TR
dc.subject CebySev Inequality tr_TR
dc.subject Generalized Riemann–Liouville Fractional Integral tr_TR
dc.title ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE tr_TR
dc.type article tr_TR
dc.relation.journal Fractals-Complex Geometry Patterns and Scaling in Nature and Society tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 29 tr_TR
dc.identifier.issue 05 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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