Convergence Study of a ψ‐Shifted Fractional Differential Scheme

ABSTRACT In this paper, we deal with a numerical approximation of the solutions of systems involving the Caputo ‐shifted fractional derivatives. Convergence results are established in graded meshes. The convergence order of the numerical scheme is optimal in the sense that it does not depend on the scaling function . Various examples and numerical tests are performed to illustrate the efficiency of the proposed method.