摘要：This paper is concerned with the existence of a unique solution to a nonlinear discrete fractional mixed type sum-difference equation boundary value problem in a Banach space. Under certain suitable nonlinear growth conditions imposed on the nonlinear term, the existence and uniqueness result is established by using the Banach contraction mapping principle. Additionally, two representative examples are presented to illustrate the effectiveness of the main result. MSC:26A33, 39A05, 39A10, 39A12.
关键词：discrete fractional mixed type sum-difference equation ; boundary value problem ; Banach space ; existence and uniqueness ; Banach contraction mapping principle
