Integral Inequalities for h(x)-Riemann-Liouville Fractional Integrals
Authors
Abstract:
In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.
similar resources
Some new Hardy-type inequalities for Riemann-Liouville fractional q-integral operator
*Correspondence: [email protected] 1Luleå University of Technology, Luleå, 971 87, Sweden 2Narvik University College, P.O. Box 385, Narvik, 8505, Norway Full list of author information is available at the end of the article Abstract We consider the q-analog of the Riemann-Liouville fractional q-integral operator of order n ∈ N. Some new Hardy-type inequalities for this operator are proved and dis...
full textRiemann-Liouville integrals of fractional order and extended KP hierarchy
An attempt is given to formulate the extensions of the KP hierarchy by introducing fractional order pseudo-differential operators. In the case of the extension with the half-order pseudo-differential operators, a system analogous to the supersymmetric extensions of the KP hierarchy is obtained. Unlike the supersymmetric extensions, no Grassmannian variable appears in the hierarchy considered he...
full textSome New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
By using the properties of modified Riemann-Liouville fractional derivative, some new delay integral inequalities have been studied. First, we offered explicit bounds for the unknown functions, then we applied the results to the research concerning the boundness, uniqueness and continuous dependence on the initial for solutions to certain fractional differential equations.
full textOn Pólya–szegö and Chebyshev Types Inequalities Involving the Riemann–liouville Fractional Integral Operators
In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the product of two functions and the product of two integrals. Certain special cases are also considered. Finally, examples for constructing the boundi...
full textOn generalized some integral inequalities for local fractional integrals
In this study, we establish generaized Grüss type inequality and some generaized Cebysev type inequalities for local fractional integrals on frac-tal sets R (0 < 1) of real line numbers.
full textOn Feng Qi-type Integral Inequalities for Conformable Fractional Integrals
In this paper, we establish the generalized Qi-type inequality involving conformable fractional integrals. The results presented here would provide extensions of those given in earlier works. 1. Introduction In the last few decades, much signi cant development of integral inequalities had been established. Integral inequalities have been frequently employed in the theory of applied sciences, di...
full textMy Resources
Journal title
volume 13 issue None
pages 1- 13
publication date 2018-05
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023