Results 171 to 180 of about 12,737 (208)

Modular Hadamard, Riemann-Liouville and Weyl fractional integrals

MATHEMATICA, 2023
This paper establishes the modular inequalities for the Hadamard fractional integrals, the Riemann-Liouville fractional integrals and the Weyl fractional integrals.
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The Minkowski’s inequalities via $$\psi$$-Riemann–Liouville fractional integral operators

Rendiconti del Circolo Matematico di Palermo Series 2, 2020
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Tariq A. Aljaaidi, Deepak B. Pachpatte
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HÖLDER-TYPE BOUNDEDNESS OF RIEMANN–LIOUVILLE TEMPERED FRACTIONAL INTEGRALS

Journal of Integral Equations and Applications
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Torres Ledesma, César E., Gutierrez, Hernán C., Rodríguez, Jesús A.   +2 more
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Riemann–Liouville fractional integral type exponential sampling Kantorovich series

Expert Systems with Applications
In the present paper, we introduce a new family of sampling Kantorovich type operators using fractional-type integrals. We study approximation properties of newly constructed operators and give a rate of convergence via a suitable modulus of continuity. Furthermore, we obtain an asymptotic formula considering locally regular functions.
Sadettin Kursun, Ali Aral, Tuncer Acar
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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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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.   +3 more
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Generalized Fractional Ostrowski's Type Inequalities Involving Riemann-Liouville Fractional Integration

2020
Fractional calculus has applications in many practical problems such as electromagnetic waves, visco-elastic systems, quantum evolution of complex systems, diffusion waves, physics, engineering, finance, social sciences, economics, mathematical biology, and chaos theory.
Ather Qayyum, Muhammad Shoaib
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The multi-parameterized integral inequalities for multiplicative Riemann–Liouville fractional integrals

Journal of Mathematical Analysis and Applications
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Tingsong Du, Yun Long
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Random inequalities via Riemann-Liouville fractional integration

Journal of Interdisciplinary Mathematics, 2021
Mohamed Bezziou, Zoubir Dahmani
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Mesoscopic Fractional Kinetic Equations versus a Riemann–Liouville Integral Type

2007
It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in the result of reduction of a set of micromotions to some averaged collective motion in the mesoscale region. In other words, it means that after a proper statistical average the microscopic dynamics is converted into a collective complex dynamics in the ...
Nigmatullin R., Trujillo J.
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