On entire solutions of system of Fermat type difference and differential–difference equations

In this paper we study the existence and precise form of entire solutions of finite order for several system of Fermat type difference as well as differential difference equations. Our results are the generalization of the results due to Gao (Acta Math Sin (Chin Ser) 59:677–685, 2016) and Liu et al. (Arch Math 99:147–155, 2012) to a large extent. We exhibit some examples in support of our results.