College of Computer Science and Mathematics

Discussion of Ph.D Dissertation  in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:

“ Solving Fuzzy of Integral Equations on Time Scales by Adomian Decomposition Method “

It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Monday, 17-3-2025

Ph.D. Dissertation by Student Wafaa Salih Ramadan Mahmoud

under the supervision of Assist. Prof. Dr. Waleed Mohammed Fathi

In this thesis, we studied a class of Volterra integral equations for existence of global classical solutions. We give conditions under which the considered equations have at least one and at least two classical solutions. To prove our main results, we propose a new approach based upon recent theoretical results. Also, we studied a class of first order fuzzy dynamic equations on arbitrary time scales for existence of solutions. We give conditions under which the considered equations have at least one and at least two solutions. To prove our main results. Finally, we have introduced the Adomian decomposition method for a class of first order fuzzy dynamic equations on arbitrary time scales for existence of solutions. The results are provided with suitable numerical examples.

The scientific committee included the following members:

• Dr. Abdulghafor Jassim Salim– Chairman
• Dr. Mohammed Shami Hasoo- Member.
• Dr. Saad Fawzi Jasim- Member.
• Prof. Dr. Thair Younis Thanoon- Member.
• Prof. Dr. Ahmed Entesar Ghitheeth- Member.
• Prof. Dr. Waleed Mohammed Fathi Al-Hayani- Member and supervisor.
• Dr. Svetline Georgiev Georgiev