Hyers - Ulam Stability Results for Discrete Antiperiodic Boundary Value Problem with Fractional Order

In this present work, we investigate Ulam stability for the following nonlinear discrete antiperiodic boundary value problem with fractional order of the form 0 ( ) C ( ) = 1, ( 1) , k v k k v k + − + − for 0 k[0,L + 2] = 0,1,...,L + 2 , with boundary conditions v( −3) = −v( + L) , v( − 3) = −v( + L) , 2v( −3) = −2v( + L) , where 2 :[ 2, L] − − + → is a continuous and 0 C k is the Caputo fractional difference operator with order 2 <3 . Finally, the main results are illustrated by some examples.