Ulam type stabilities for oscillatory Volterra integral equations

Key Points

• Hyers-Ulam stability is analyzed for integral equations driven by oscillatory kernels, showing significant findings.
• The results indicate considerable applicability of stability concepts for sine and cosine integrals in various applications.
• An example illustrates the practical relevance of the derived results within the context of oscillatory integral equations.
• This research offers insight into the robustness of solutions to oscillatory Volterra integral equations and related mathematical structures.