On the behaviour of the solutions of a class of arbitrary order difference equations

In this thesis, the behaviour of solutions of a class of fractional difference equations is examined. The thesis consist of five chapter. The first chapter is reserved for introduction. In this chapter, a brief literature review has been made, the purpose and importance of the study and the summary of the references are presented. In the second chapter, fundamental definitions, theorems and lemmas required throughout the thesis have been given. In the third chapter, the stability of the solutions of a class of fractional difference equations containing more than one variable delay term is discussed and some new results are given. In the fourth chapter, stability of Nicholson's blowflies model nabla fractional difference equations is discussed and and some new results are given. In the last chapter, stability and asymptotic behaviour of a class of Volterra type linear nabla fractional difference equation is examined and asymptotic behaviour of Volterra type linear nabla fractional system is discussed.