Analysis of solution of fractional summation-difference equation of finite delay in cone metric space

Abstract

In this paper, we will investigate the solution of the Summation-Fractional Difference equation of finite delay with nonlocal condition in cone metric space. The result is obtained by applying some extensions of Banach’s contraction principle in complete cone metric space, and an example is provided to demonstrate the main result. Keywords: fractional difference equation; summation equation; existence of solution; cone metric space; Banach contraction principle.