Hyers - Ulam Stability Results for Discrete Antiperiodic Boundary Value Problem with Fractional Order 2 <  3

In this present work, we investigate Ulam stability for the following nonlinear discrete antiperiodic boundary value problem with fractional order of the form 0 ( ) = 1, ( 1) ,   C k v k k v k          for   0 k L L    [0, 2] = 0,1,..., 2  , with boundary conditions v v L ( 3) = ( )      ,     v v L ( 3) = ( )   , 2 2     v v L ( 3) = ( )   , 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.