Results 21 to 30 of about 633 (283)
On Some Special Functions for Conformable Fractional Integrals
, 2020 In this paper, we introduce the (α,k)-gamma function, (α,k)-beta function, Pochhammer symbol (x)αn,k and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those
Mehmet Zeki Sarıkaya +4 more
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Steffensen's integral inequality for conformable fractional integrals
International Journal of Analysis and Applications, 2017 The aim of this paper is to establish some Steffensen’s type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works.
Mehmet Zeki Sarikaya +2 more
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Volterra-Fredholm-type integral inequalities for generalized conformable fractional integrals
Mathematical Foundations of Computing, 2023 Xiaoyue Han, Run Xu
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Hermite–Hadamard inequalities for left fractional conformable integral operator [PDF]
Boundary Value ProblemszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hüseyin Budak, Nejla Özmen
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On Some Integral Inequalities via Conformable Fractional Integrals [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
Akdemir, Ahmet Ocak +6 more
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Hardy Type Inequalities for Conformable Fractional Integrals
, 2020 The main target addressed in this article are presenting Hardy type inequalities for Katugampola conformable fractional integral. In accordance with this purpose we try to use more general type of function in order to make a generalization. Thus our results cover the previous published studies for Hardy type inequalities.
Mehmet Zeki Sarıkaya
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A modification to the conformable fractional calculus with some applications
Alexandria Engineering Journal, 2020 In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
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Mathematics, 2021 The primary goal of this our research is to prove several new ∇-conformable dynamic Steffensen inequalities that were demonstrated in recent works. Our results generalize and extend existing results in the literature.
Ahmed A. El-Deeb, Jan Awrejcewicz
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On nabla conformable fractional Hardy-type inequalities on arbitrary time scales
Journal of Inequalities and Applications, 2021 The main aim of the present article is to introduce some new ∇-conformable dynamic inequalities of Hardy type on time scales. We present and prove several results using chain rule and Fubini’s theorem on time scales.
Ahmed A. El-Deeb +4 more
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Some modifications in conformable fractional integral inequalities [PDF]
Advances in Difference Equations, 2020 AbstractThe prevalence of the use of integral inequalities has dramatically influenced the evolution of mathematical analysis. The use of these useful tools leads to faster advances in the presentation of fractional calculus. This article investigates the Hermite–Hadamard integral inequalities via the notion of Ϝ-convexity. After that, we introduce the
Dumitru Băleanu +3 more
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