Results 151 to 160 of about 750 (182)

Fractional zero-phase filtering based on the Riemann–Liouville integral

Signal Processing, 2014
In this paper, two novel and computationally efficient, zero-phase filtering techniques are proposed based on the Riemann-Liouville integral. Thanks to the reverse phase characteristics of backward filtering, an overall zero-phase effect can be achieved by cascading a fractional forward filtering with a fractional backward filtering, and vice versa ...
Jianhong Wang, Yongqiang Ye, Xiang Pan, Xudong Gao 0002, Chao Zhuang   +4 more
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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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Riemann–Liouville Fractional Fundamental Theorem of Calculus and Riemann–Liouville Fractional Polya Integral Inequality and the Generalization to Choquet Integral Case

2020
Here we present the right and left Riemann–Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time. Then we establish a Riemann–Liouville fractional Polya type integral inequality with the help of generalised right and left Riemann–Liouville fractional derivatives. The amazing fact here is that
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Hardy type inequalities for fractional integrals and derivatives of Riemann–Liouville

Lobachevskii Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Fractional Boole’s inequalities for twice differentiable functions for Riemann–Liouville fractional integrals

Journal of Applied Mathematics and Computing
Boole's type inequalities for first-order differentiable convex functions have been extensively studied, particularly in the context of numerical integration and fractional calculus. However, such inequalities for twice-differentiable functions remain relatively unexplored.
Asia Shehzadi, Hüseyin Budak, Wali Haider, Abdul Mateen, Haibo Chen   +4 more
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Weight inequalities of the Hardy type for fractional Riemann-Liouville integrals

Siberian Mathematical Journal, 1990
In this paper for the fractional Riemann-Liouville integrals \[ P_ rf(x)=\frac{1}{\Gamma (r)}\int^{x}_{0}(x-t)^{r-1}f(t)dt,\quad r>0, \] the weight estimates of the type \[ (*)\quad (\int^{\infty}_{0}| P_ rf(x)u(x)|^ pdx)^{1/p}\leq C(\int^{\infty}_{0}| f(x)v(x)|^ pdx)^{1/p} \] are studied.
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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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Hermite–Hadamard type inequalities for multiplicative Riemann–Liouville fractional integrals

Journal of Computational and Applied Mathematics
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Tingsong Du, Yu Peng
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Certain Matrix Riemann–Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials

Symmetry, 2021
Mohammed Abdalla, Mohamed Akel, Junesang Choi   +2 more
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