Results 11 to 20 of about 6,726 (311)
Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals [PDF]
Journal of Inequalities and Applications, 2017 Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal +2 more
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The General Fractional Integrals and Derivatives on a Finite Interval
Mathematics, 2023 The general fractional integrals and derivatives considered so far in the Fractional Calculus literature have been defined for the functions on the real positive semi-axis.
Mohammed Al-Refai, Yuri Luchko
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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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On multiplicative conformable fractional integrals: theory and applications [PDF]
Boundary Value ProblemsIn this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined ...
Hüseyin Budak, Büşra Betül Ergün
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Newton-type Inequalities for Fractional Integrals by Various Function Classes [PDF]
Universal Journal of Mathematics and ApplicationsThe authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals.
Hüseyin Budak +2 more
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Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2023 We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard
Hasan Kara, Samet Erden, Huseyin Budak
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Fractional Line Integral [PDF]
Mathematics, 2021 This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calculus. It was based on the concept of the fractional anti-derivative used to generalise the Barrow formula.
Gabriel Bengochea, Manuel Ortigueira
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Fractional Integration and Cointegration [PDF]
, 2023 Fractionally integrated and fractionally cointegrated time series are classes of models that generalize standard notions of integrated and cointegrated time series. The fractional models are characterized by a small number of memory parameters that control the degree of fractional integration and/or cointegration.
Hualde, Javier +1 more
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On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Difference Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman +4 more
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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
Abstract and Applied Analysis, 2014 We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.
Weerawat Sudsutad +2 more
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