Fractional integral inequalities

International Journal of Open Problems in Computer Science and Mathematics, 2013
In this paper, we use the Riemann-Liouville fractional integral to present recent results on fractional integral inequalities. By considering the extended Chebyshev functional in the case of synchronous functions, we establish two main results. The first one deals with some inequalities using one fractional parameter.
Djemaia Bensikaddour, Zoubir Dahmani
openaire +1 more source

A Bilinear Inequality for a Class of Operators of Fractional Integration

Siberian Mathematical Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oinarov, R., Baiarystanov, A. O., Aldai, M. +2 more
openaire +2 more sources

Norm inequalities with fractional integrals

St. Petersburg Mathematical Journal
Fractional spline wavelet systems are considered. Together with the Battle–Lemarié scaling and wavelet functions of natural orders, they are used to find conditions that ensure certain inequalities between the norms of images and pre-images of fractional integration operators in Besov spaces with Muckenhoupt weights on
Ushakova, E. P., Ushakova, K. E.
openaire +1 more source

On the Integral Inequalities for Riemann–Liouville and Conformable Fractional Integrals

2018
An integral operator is sometimes called an integral transformation. In the fractional analysis, Riemann–Liouville integral operator (transformation) of fractional integral is defined as $$S_{\alpha }(x)= \frac{1}{\Gamma (x)} \int _{0}^{x} (x-t)^{\alpha -1}f(t)dt$$ where f(t) is any integrable function on [0, 1] and $\alpha >0$, t is in domain
Emin Ozdemir M., Akdemir A.O., Set E., Ekinci A. +3 more
openaire +3 more sources

fractional derivatives and integrals
mathematics
inequalities for sums, series and integrals

fractional integrals
qa1-939
applied mathematics

fos: mathematics
inequalities
fractional calculus