Title of article :
Caputo definition for finding fractional moments of power law distribution functions
Author/Authors :
Abdul-Jabbar, Rifaat Saad Department of Mathematics - College of Science - University of Anbar, Iraq
Abstract :
In this paper, we propose a modern technique to derive fractional moment by using Caputo definition of fractional derivative. Such technique represents a modification of fractional moments on a certain type of function which is known by the power law distribution functions. The results have been obtained show that the obtained fractional moments within such functions have closed form.
Keywords :
Fractional moment , Caputo definition , Power law distribution functions , Fourier transform
Journal title :
International Journal of Nonlinear Analysis and Applications