Abstract
This paper derives a probability distribution with fractional moments arising from generalized Pearson system of differential equation. The expressions for the probability density function, cumulative distribution function and moments have been obtained. The plots for the probability density function, cumulative distribution function, and survival and hazard functions are also provided. Some distributional relationships of the proposed distribution have been established. Characterization of the new distribution is given. It is hoped that the findings of the paper will be useful for researchers in different fields like economics, engineering, environmental science, finance, medical sciences and physical sciences among others, where fractional moments become required to be computed if the integer moments k>=1 do not exist.
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