Results 181 to 190 of about 2,981 (208)

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 Riemann–Liouville Fractional Δ-Integral and the Riemann–Liouville Fractional Δ-Derivative on Time Scales

2018
In this chapter we suppose that \(\mathbb {T}\) is a time scale with forward jump operator and delta differentiation operator σ and Δ, respectively.
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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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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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The multi-parameterized integral inequalities for multiplicative Riemann–Liouville fractional integrals

Journal of Mathematical Analysis and Applications
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Tingsong Du
exaly   +2 more sources

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

Lobachevskii Journal of Mathematics, 2017
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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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