The existence and uniqueness of solutions to boundary value problems of fractional difference equations
School of Mathematical Sciences, University of Jinan, Shandong 250022, People’s Republic of China
Mathematical Sciences 2012, 6:7 doi:10.1186/2251-7456-6-7Published: 11 June 2012
In this paper, we study the existence and uniqueness of solutions for the boundary value problem where is continuous, and nonnegative for is a given function. We give a representation for the solution to this problem, and we prove the existence and uniqueness of solution to this problem by contraction mapping theorem and Brouwer theorem.