Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions [PDF]
Journal of Function Spaces, 2021 Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
Ahmet Ocak Akdemir +3 more
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Bilinear Fractional Integral Operators [PDF]
Analysis in Theory and Applications, 2020 We study the bilinear fractional integral considered by Kenig and Stein, where linear combinations of variables with matrix coefficients are involved. Under more general settings, we give a complete characterization of the corresponding parameters for ...
Ting Chen, Wenchang Sun
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Hermite-Hadamard type inequalities for the generalized k-fractional integral operators [PDF]
Journal of Inequalities and Applications, 2017 We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function.
Erhan Set +2 more
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Further Integral Inequalities through Some Generalized Fractional Integral Operators
Fractal and Fractional, 2021 In this article, we utilize recent generalized fractional operators to establish some fractional inequalities in Hermite–Hadamard and Minkowski settings.
Abd-Allah Hyder +2 more
exaly +2 more sources
New estimates considering the generalized proportional Hadamard fractional integral operators
Advances in Difference Equations, 2020 In 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
Shuang-Shuang Zhou +4 more
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Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators [PDF]
The Scientific World Journal, 2014 In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors.
Praveen Agarwal +3 more
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On Novel Fractional Integral and Differential Operators and Their Properties [PDF]
Journal of Mathematics, 2023 The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential ...
Shahid Mubeen +6 more
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Refinements of Pólya-SzegŐ and Chebyshev type inequalities via different fractional integral operators [PDF]
HeliyonVarious differential and integral operators have been introduced and applied for the generalization of several integral inequalities. The purpose of this article is to create a more generalized fractional integral operator of Saigo type.
Ayyaz Ahmad, Matloob Anwar
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Chebyshev type inequalities involving extended generalized fractional integral operators [PDF]
AIMS Mathematics, 2020 In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities.
E. Set, M. Özdemir, Sevdenur Demirbaş
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Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators [PDF]
Nonlinear Analysis: Modelling and ControlThe main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators. To ensure the suitable selection of the operator and with the discussion of special cases, it is shown that our considered fractional integral generalizes the well-known Atangana ...
Supriya Kumar Paul +2 more
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