College of Computer Science and Mathematics

Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:Using Lyapunov-function to study the stability of the solution of some stochastic differential equation with applicationIn continuation of the scientific research movement and with the follow-up and presence of the Dean of the College of Computer Science and MathematicsProf. Dr. Duha Bashir Abdullah The esteemedIt was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday 17/10/2022Master’s thesis by studentSufyanFadhel Ahmed, under the supervision of Assistant Professor Dr. AbdulghafoorJassimSalim. In this thesis, stochastic differential equations with fractional exponents were studied and their general formula was found, we Study and find the stability by using the Lyapunov function according to the second direct method. After we find the exact solution, we compare it with the approximate solutions using some numerical methods. The moment’s generation function is also found in order to find the moments. The thesis included some examples illustrating most of the concepts that were studied.1-Prof. Dr. Hassan Hussein Ibrahim/ Chief2- AssociateDrAhmed Mohamed Jumaa/ Member3-Associate Prof. Dr. SaadFawzyJassim / Member4- Professor Dr. AbdulghafoorJassimSalim/ Advisor and Member