@article{article_1260710, title={Analysis of fractional random ordinary differential equations by Adomian Decomposition Method}, journal={Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, volume={26}, pages={73–90}, year={2024}, DOI={10.25092/baunfbed.1260710}, author={Merdan, Mehmet and Atasoy, Nihal}, keywords={Adomian decomposition method, fractional derivative, nonlinear ordinary differantial equation}, 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.}, number={1}, publisher={Balıkesir University}, organization={yok}