Periodic Boundary Value Problems for Fractional Dynamic Equations on Time Scales

The manuscript is concerned with the existence, uniqueness, and Ulam stability of solutions of a nonlinear fractional dynamic equation involving Caputo fractional nabla derivative with the periodic boundary conditions on time scales. Based on the fixed point theory, first, we investigate the existence of a solution and then employing dynamic inequality the uniqueness result is obtained. Next, we present several results on Ulam stability. An appropriate example has been given to demonstrate the implementation of theoretical results.