Results 181 to 190 of about 1,397,398 (207)

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

Lobachevskii Journal of Mathematics, 2017
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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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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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Riemann-Liouville fractional integration and reduced distributions on hyperspheres

Journal of Physics A: Mathematical and General, 1991
Using properties of Dirichlet's iterated integral formula the author shows how the Riemann-Liouville fractional integral unifies arbitrary moment calculations for reduced distributions on hyperspheres. A whole class of problems of this type is then reduced to readily identifiable integral transforms.
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The Solutions of Some Riemann–Liouville Fractional Integral Equations

Fractal and Fractional, 2021
Kamsing Nonlaopon, Somsak Orankitjaroen, Karuna Kaewnimit   +2 more
exaly  

Existence of Solutions for a Singular Fractional q-Differential Equations under Riemann–Liouville Integral Boundary Condition

Symmetry, 2021
Francisco Martinez, Shao-Wen Yao, Mohammad Esmael Samei   +2 more
exaly  

A Method to Extend the Riemann-Liouville Fractional Integral

SSRN Electronic Journal, 2023
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