No abstract

No abstract

No abstract

The solutions of weakly singular fractional Volterra integro-differential equations involving the Caputo derivative typically have solutions whose derivatives are unbounded at the left end-point of the interval of integration. In this paper, we design an algorithm to prevail on this non-smooth behavior of solutions of the nonlinear fractional Volterra integro-differential equations with a weakly singular kernel. The convergence of the proposed method is investigated.The proposed scheme is employed to solve four numerical examples in order to test its efficiency and accuracy.

The solutions of weakly singular fractional integro-differential equations involving the Caputo derivative have singularity at the lower bound of the domain of integration. In this paper, we design an algorithm to prevail on this non-smooth behaviour of solutions of the nonlinear fractional integro-differential equations with a weakly singular kernel. The convergence of the proposed method is investigated. The proposed scheme is employed to solve four numerical examples in order to test its efficiency and accuracy.