Results 141 to 150 of about 1,528 (178)

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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SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS

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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Fractional Order Riemann–Liouville Integral Equations

2012
In this chapter, we shall present existence results for some classes of Riemann–Liouville integral equations of two variables by using some fixed-point theorems.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
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Hermite–Hadamard inequalities for Riemann–Liouville fractional integrals

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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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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The Right Multidimensional Riemann–Liouville Fractional Integral

2016
Here we study some important properties of right multidimensional Riemann–Liouville fractional integral operator, such as of continuity and boundedness.
George A. Anastassiou, Ioannis K. Argyros   +1 more
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Geometric Interpretation for Riemann–Liouville Fractional-Order Integral

2020 Chinese Control And Decision Conference (CCDC), 2020
A new method is proposed to plot the image of Riemann–Liouville (RL) fractional-order integral. The meanings of the image are discussed, including the mathematical expression of the image, the corresponding relationship between the image and RL fractional-order integral, and the change of the image as increasing the upper limit of RL fractional-order ...
Lu Bai, Dingyu Xue, Li Meng
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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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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.
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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