IJIRCSTJournal International Journal of Innovative Research in Computer Science and Technology I S Volume 4 Issue 2 Science & Engineering English March - April 2016 N N Y 2019 12 05 Computer Sciences Random Euler Method for Solving a System of Random Matrix Differential Initial Value Problem in Mean Square Sense English Y 46 52 M. A. Sohaly English Y Ahlam H.Tolba English N In this paper, the random Euler method (REM) is used in solving system of random matrix differential initial value problems of first order. The existence and uniqueness theorem was proved. The REM is presented and the conditions for the mean square (m.s.) convergence are established. Numerical examples show that REM gives good results where some statistical properties of the numerical solutions are computed through numerical case studies. English Random Differential Equations(RDE’s), Mean Square Sense(m.s.), Matrix initial Value Problems, Random Euler Method(REM). https://ijircst.org/abstract.php?article_id=255