Results 31 to 40 of about 74,030 (274)
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel +3 more
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CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS
During the past two decades or so, fractional integral inequalities have proved to be one of the most powerful and far-reaching tools for the development of many branches of pure and applied mathematics. Very recently, many authors have presented some generalized inequalities involving the fractional integral operators.
Praveen Agarwal, Junesang Choi
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Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators
This study is built on the relationship between inequality theory and fractional analysis. Thanks to the new fractional operators and based on the proportional Caputo-hybrid operators, integral inequalities containing new approaches are obtained for ...
Mustafa Gürbüz +2 more
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A comprehensive review of Grüss-type fractional integral inequality
A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville ...
Muhammad Tariq +5 more
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New extensions of Chebyshev-Pólya-Szegö type inequalities via conformable integrals
Recently, several papers related to integral inequalities involving various fractional integral operators have been presented. In this work, motivated essentially by the previous works, we prove some new Polya-Szegö inequalities via conformable ...
Erhan Deniz +2 more
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Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study.
Jamshed Nasir +3 more
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An extension problem related to the fractional Branson-Gover operators
The Branson-Gover operators are conformally invariant differential operators of even degree acting on differential forms. They can be interpolated by a holomorphic family of conformally invariant integral operators called fractional Branson-Gover ...
Frahm, Jan, Zhang, Genkai, Ørsted, Bent
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In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih +4 more
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On Weyl fractional integral operators
In this paper, we first establish an interesting theorem exhibiting a relationship existing between the Laplace transform and Weyl fractional integral operator of related functions. This theorem is sufficiently general in nature as it contains $n$ series involving arbitrary complex numbers $ \Omega(r_1,\ldots r_n) $.
Jain, Rashmi, Pathan, M. A.
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Grüss Type k-Fractional Integral Operator Inequalities and Allied Results
This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel.
Ghulam Farid +5 more
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