Results 161 to 170 of about 12,737 (208)

Mathematical modeling of tuberculosis using Caputo fractional derivative: a comparative analysis with real data. [PDF]

Sci Rep
Bhatter S, Kumawat S, Purohit SD, Suthar DL.   +3 more
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On the generalization of Hermite-Hadamard type inequalities for E ` -convex function via fractional integrals. [PDF]

Heliyon
Talha MS, Abbas T, Li Z, Rebey A, Ahmed A, Anjum S.   +5 more
europepmc   +1 more source

Solutions behavior of mechanical oscillator equations with impulsive effects under Power Caputo fractional operator and its symmetric cases. [PDF]

Sci Rep
Saber H, Almalahi M, Bouye M, Aldwoah K, Moumen A, Muflh B.   +5 more
europepmc   +1 more source

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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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Some Riemann–Liouville fractional integral inequalities for convex functions

The Journal of Analysis, 2018
We are pleased to investigate some Riemann–Liouville fractional integral inequalities in a very simple and novel way. By using convexity of a function f and a simple inequality over the domain of f we establish some interesting results.
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