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

Abstract

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 successive approximation approach. This study investigates a boundary value problem involving a non-linear Volterra-Fredholm integrodifferential equations of fractional order, along with its boundary conditions. The main results are demonstrated through several examples.