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Inequalities for B $\mathbb{B}$-convex functions via generalized fractional integral
Journal of Inequalities and Applications, 2019 Recently, fractional calculus has become a very popular and important area. Specially, fractional integral inequalities have been studied by different authors.
Ilknur Yesilce
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Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions
Journal of Function Spaces, 2022 In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon +5 more
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An algorithm for the numerical solution of two-sided space-fractional partial differential equations. [PDF]
, 2015 We introduce an algorithm for solving two-sided space-fractional partial differential equations. The space-fractional derivatives we consider here are left-handed and right-handed Riemann–Liouville fractional derivatives which are expressed by using ...
Ford, Neville J., Pal, Kamal, Yan, Yubin
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Hermite-Hadamard's inequalities for conformable fractional integrals
An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2019 In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier
Mehmet Zeki Sarıkaya +4 more
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Generalization of Hermite-Hadamard inequalities involving Hadamard fractional integrals
Filomat, 2015 In this paper, we firstly give a general integral identity for once differentiable mapping involving Hadamard fractional integrals. Secondly, we use this integral identity to derive some new generalization of fractional Hermite-Hadamard inequalities through GA-convex functions via power means and integrals GG-convex functions via power ...
Zhi Zhang, Wei Wei, Jin Wang
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Certain new proportional and Hadamard proportional fractional integral inequalities
Journal of Inequalities and Applications, 2021 The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman +2 more
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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
Open Mathematics, 2020 The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng +2 more
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Generalized Hermite-Hadamard type integral inequalities for fractional integrals
Filomat, 2016 In this paper, we have established Hermite-Hadamard type inequalities for fractional integrals depending on a parameter.
Sarıkaya, Mehmet Zeki, Budak, Hüseyin
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On Some Operators Involving Hadamard Derivatives [PDF]
, 2013 In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
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