On Hermite-Hadamard type inequalities for multiplicative fractional integrals [PDF]
Miskolc Mathematical Notes, 2020 In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving ...
Ḣ. Budak, K. Özçelik
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On the Fractional Maximal Delta Integral Type Inequalities on Time Scales
Fractal and Fractional, 2020 Time scales have been the target of work of many mathematicians for more than a quarter century. Some of these studies are of inequalities and dynamic integrals. Inequalities and fractional maximal integrals have an important place in these studies.
Lütfi Akın
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Theory of Functional Connections Extended to Fractional Operators
Mathematics, 2023 The theory of functional connections, an analytical framework generalizing interpolation, was extended and applied in the context of fractional-order operators (integrals and derivatives).
Daniele Mortari +2 more
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Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial
Mathematics, 2019 Several fractional-order operators are available and an in-depth knowledge of the selected operator is necessary for the evaluation of fractional integrals and derivatives of even simple functions.
R. Garrappa, E. Kaslik, M. Popolizio
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On a Fractional Differential Equation with r-Laplacian Operator and Nonlocal Boundary Conditions
Mathematics, 2022 We study the existence and multiplicity of positive solutions of a Riemann-Liouville fractional differential equation with r-Laplacian operator and a singular nonnegative nonlinearity dependent on fractional integrals, subject to nonlocal boundary ...
Johnny Henderson +2 more
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Inequalities of trapezoidal type involving generalized fractional integrals
Alexandria Engineering Journal, 2020 During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λ φ –preinvex functions, which are differentiable ...
D. Băleanu, P. Mohammed, Shengda Zeng
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A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration [PDF]
Signal Processing, 2015 We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As particular cases, one obtains the usual time-scale Hilger derivative when the order of differentiation ...
Nadia Benkhettou +2 more
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On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals
Advances in Difference Equations, 2020 In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable function Ψ.
Gauhar Rahman +3 more
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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Mathematics, 2020 In this paper, our objective is to apply a new approach to establish bounds of sums of left and right proportional fractional integrals of a general type and obtain some related inequalities. From the obtained results, we deduce some new inequalities for
G. Rahman +3 more
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