Results 171 to 180 of about 357,245 (207)

SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS [PDF]

Rocky Mountain Journal of Mathematics, 2023
In this paper, the authors establish a new identity for a twice differentiable functions whose second derivatives are convex. Furthermore, using the concepts of Riemann-Liouville fractional integrals, some new perturbed Newton-type inequalities for twice differentiable convex functions are derived and proved.
Hezenci, Fatih, Budak, Hüseyin
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The multi-parameterized integral inequalities for multiplicative Riemann–Liouville fractional integrals

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ting-Song Du
exaly   +2 more sources

Certain Matrix Riemann–Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials

Symmetry, 2021
The fractional integrals involving a number of special functions and polynomials have significant importance and applications in diverse areas of science; for example, statistics, applied mathematics, physics, and engineering.
Mohammed Abdalla, Mohamed Akel, Junesang Choi   +2 more
exaly   +2 more sources

HÖLDER-TYPE BOUNDEDNESS OF RIEMANN–LIOUVILLE TEMPERED FRACTIONAL INTEGRALS

Journal of Integral Equations and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
César Enrique Torres Ledesma
exaly   +3 more sources

Hardy type inequalities for fractional integrals and derivatives of Riemann–Liouville [PDF]

Lobachevskii Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nasibullin R., Nasibullin, Ramil
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On the Integral Inequalities for Riemann–Liouville and Conformable Fractional Integrals

2018
An integral operator is sometimes called an integral transformation. In the fractional analysis, Riemann–Liouville integral operator (transformation) of fractional integral is defined as $$S_{\alpha }(x)= \frac{1}{\Gamma (x)} \int _{0}^{x} (x-t)^{\alpha -1}f(t)dt$$ where f(t) is any integrable function on [0, 1] and \(\alpha >0\), t is in domain
Emin Ozdemir M., Akdemir A.o., Set E., Ekinci A., Akdemir, Ahmet Ocak, Belirlenecek, Emin Ozdemir, M., Education Faculty, Uludag University, Bursa, Turkey; Akdemir, A.O., Faculty of Science and Letters, Agri Ibrahim Cecen University, Agri, Turkey; Set, E., Faculty of Science and Letters, Ordu University, Ordu, Turkey; Ekinci, A., Faculty of Science and Letters, Ordu University, Ordu, Turkey   +6 more
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Hermite–Hadamard inequalities for Riemann–Liouville fractional integrals [PDF]

Mathematica Slovaca
Abstract In this paper, we prove some new inequalities of Hermite–Hadamard type for differentiable functions with h-convex derivatives. It is also shown that the newly established inequalities are extension of the existing inequalities in the literature. Finally, we give applications of the new results and outline some future problems.
Ali Muhammad Aamir, Kórus Péter, Nápoles Valdés Juan E.   +2 more
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Weighted Hölder Continuity of Riemann-Liouville Fractional Integrals–Application to Regularity of Solutions to Fractional Cauchy Problems With Carathéodory Dynamics

Fractional Calculus and Applied Analysis, 2019
International audienceThis paper is dedicated to several original (weighted) Hölder continuity results for Riemann-Liouville fractional integrals of weighted integrable functions. As an application, we prove a new weighted continuity result for solutions
Loïc Bourdin
exaly   +2 more sources

Rational Approximations of Riemann--Liouville and Weyl Fractional Integrals

Mathematical Notes, 2005
Given \(h\) an \(L_1\)-integrable function on \(I= [a, b]\) and \(\alpha> 0\), set \(f(x)= (P^\alpha_\pm* h)(x)\) where \(P^\alpha_\pm(t)\) denotes either the well known Riemann-Liouville kernel or the Weyl kernel when \(I= [0, 2\pi]\) and \(h\) is a \(2\pi\)-periodic function. Here \(*\) represents the usual ``convolution'' operation.
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Bounds of Riemann-Liouville fractional integral operators

2021
Summary: Fractional integral operators play an important role in generalizations and extensions of various subjects of sciences and engineering. This research is the study of bounds of Riemann-Liouville fractional integrals via \((h-m)\)-convex functions. The author succeeded to find upper bounds of the sum of left and right fractional integrals for \((
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