The College of Science in the Department of Mathematics discussed a Ph.D. thesis entitled "Generalized q-Difference Equations of the Generalized q-Operators and their Applications" by graduate student Fayez Aajil Reshm. The thesis aims to present three generalized q-difference equations. The solution of these q-difference equations is represented in q-operator form. We utilized the method of the q-difference equation to introduce q-identities for the q-operators, generalized q-polynomials.