Hyers-Ulam stability of non-linear Volterra-Fredhlom integro-differential equations via successive approximation method

In this work, we examine the Hyers-Ulam and Hyers-Ulam-Rassias stability of non-linear Volterra-Fredhlom integro-differential equations of fractional order with boundary conditions using the suc-cessive approximation approach. This study investigates a boundary value problem involving a non-linear Volterra-Fredholm integro-differential equations of fractional order, along with its boundary conditions. The main results are demonstrated through several examples.