BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS OF BOUNDED AND UNBOUNDED VARIATION [PDF]
, 2017 The present paper investigates fractal dimension of Hadamard fractional integral of continuous functions of bounded and unbounded variation. It has been proved that Hadamard fractional integral of continuous functions of bounded variation still is ...
JUN HUAI DU, XIAO ER WU
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On some integral inequalities using Hadamard fractional integral [PDF]
, 2020 In this paper, using Hadamard fractional integral, we establish two main new result on fractional integral inequalities by considering the extended Chebyshev functional in case of synchronous function.
Deepak B Pachpatte +1 more
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Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives [PDF]
Kragujevac Journal of Mathematics, 2021 In this paper, we examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE’s) involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder’s fixed point theorem.
Karthikeyan, P., Arul, R.
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Fractal and Fractional, 2021 Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
Ghulam Farid +2 more
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Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
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On Hermite-Hadamard Type Inequalities Via Fractional Integral Operators [PDF]
, 2019 WOS: 000496191500014In this paper, we give new definitions related to fractional integral operators for two variables functions using the class of integral operators.
Sarıkaya, Mehmet Zeki, Tunç, Tuba
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On positive solutions of a system of equations generated by Hadamard fractional operators
Advances in Difference Equations, 2020 This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators.
Amira M. Abdalla +2 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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On the Generalized Hermite–Hadamard Inequalities via the Tempered Fractional Integrals [PDF]
Symmetry, 2020 Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods (numerically or analytically) and to dedicate the convergence and stability of the methods.
Pshtiwan Othman Mohammed +2 more
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Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator [PDF]
, 2023 In this study, a new definition of the fractional integral operator is first proposed, which generalizes some well-known fractional integral operators.
Gang Chen, Jinbo Ni, Hudie Dong
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