Dahmani, ZoubirBouziane, Aboubakr EssedikHouas, MohamedSarıkaya, Mehmet Zeki2020-04-302020-04-3020171123-25361590-0932https://doi.org/10.1285/i15900932v37n1p23https://hdl.handle.net/20.500.12684/3806WOS: 000433125200002New 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.en10.1285/i15900932v37n1p23info:eu-repo/semantics/openAccessIntegral inequalitiesRiemann-Liouville integralrandom variablefractional w-weighted expectationfractional w-weighted variancefractional w-weighed momentArticle3712340Q3N/A