Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals

الملخص EN

In this attempt, we introduce a new technique to solve main generalized Abel’s integral equations and generalized weakly singular Volterra integral equations analytically.

This technique is based on the Adomian decomposition method, Laplace transform method, and Ψ-Riemann–Liouville fractional integrals.

Finally, some examples are proposed and they illustrate the rapidness of our new technical method.