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    New integral inequalities for (R, ?)-fractional moments of continuous random variables
    (Publishing House of the Romanian Academy, 2018) Houas, Mohamed; Dahmani, Zoubir; Sarıkaya, Mehmet Zeki
    In this paper, we establish new integral inequalities for continuous random variables. By introducing new concepts on fractional moments of continuous random variables, we generalize some interesting results of P. Kumar. Other fractional integral results are also presented. © 2018, Publishing House of the Romanian Academy. All rights reserved.
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    New W-weighted concepts for continuous random variables with applications
    (Aracne Editrice, 2017) Dahmani, Zoubir; Bouziane, Aboubakr Essedik; Houas, Mohamed; Sarıkaya, Mehmet Zeki
    New concepts on fractional probability theory are introduced and some inequalities for the fractional w-weighted expectation and the fractional w-weighted variance of continuous random variables are obtained. Other fractional results related to the two orders fractional w-weighted moment are also established. Some recent results on integral inequality theory can be deduced as some special cases. At the end, some applications on the uniform random variable are given.
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    Some integral inequalities for (k, s) - Riemann-Liouville fractional operators
    (Taru Publications, 2018) Houas, Mohamed; Dahmani, Zoubir; Sarıkaya, Mehmet Zeki
    In this paper, by using a new fractional integral approach of M.Z. Sarikaya et al., we establish new generalized fractional integral inequalities involving (k, s) - Riemann-Liouville integral operators. Some classical and non classical integral inequalities can be deduced as some special cases.