Properties of Conformable Fractional Maxwell-Boltzmann Probability Distribution

This research aims to generate the properties of a conformable fractional Maxwell-Boltzmann probability distribution. The Maxwell-Boltzmann distribution is a probability distribution with applications in physics and chemistry. The most common application is in the field of statistical mechanics. Fractional calculus (FC) has become an essential computational method for describing appropriate kinetic energy problems. Fractional derivatives have mathematically interpreted many physical models of kinetic energy. This study investigates conformable fractional analogs of some basic concepts related to probability distributions of random variables, namely density, cumulative distribution, survival, and hazard functions. Moreover, we used comfortable fractional analogs for expected values, moments,central moments, mean, variance, skewness, and kurtosis. In addition, it introduces conformable fractional analogs to some entropy measures, namely, Shannon and Renyi entropy measures, together with Awad sup- entropy counter parts of these three measures. All these concepts have been applied to the fractional Maxwell probability distribution, which is very useful in a wide range of disciplines that are used for describing the speeds of various particles within a stationary container at a specific temperature