Solution of Singular Integral Equations via Riemann-Liouville Fractional Integrals

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 psi-Riemann-Liouville fractional integrals. Finally, some examples are proposed and they illustrate the rapidness of our new technical method.