Analysis of fractional random ordinary differential equations by Adomian Decomposition Method

Authors : Mehmet Merdan, Nihal Atasoy

Pages : 73-90

Doi:10.25092/baunfbed.1260710

View : 45 | Download : 51

Publication Date : 2024-01-19

Article Type : Research Paper

Abstract :In this study, random ordinary differential equations obtained by randomly choosing the coefficients or initial conditions of the ordinary differential equations will be analyzed by the Adomian Decomposition Method. The initial conditions or coefficients of the equations will be converted to random variables with normal and exponential distribution. Probability characteristics such as expected value, variance and confidence interval of the obtained random ordinary differential equations will be calculated. Obtained results will be drawn with the help of MATLAB (2013a) package program and random results will be interpreted.
Keywords : Adomian ayrıştırma yöntemi, kesirli türev, lineer olmayan adi diferansiyel denklem