Memory Effect of Deformable Mean and Deformable Standard Deviation

Abstract

Memory effects can be easily understood with the help of fractional derivatives. In this paper with the help of Deformable fractional derivative we try to understand the role of deformability on memory effects of a normal distribution using moment generating function. First, we develop a formula for Deformable mean and Deformable standard deviation with the help of Deformable fractional derivative. Secondly, we calculate the value of Deformable mean and Deformable standard deviation for varying fractional order. Lastly, we draw plot of normal distribution for calculated value of Deformable mean and Deformable deviation with varying fractional order and give conclusion.