Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations

Abstract EN

We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay.

The fractional derivative is described in the Caputo sense.

We provide a rigorous error analysis for the collocation method, which shows that the error of approximate solution decays exponentially in L∞ norm and weighted L2-norm.

The numerical examples are given to illustrate the theoretical results.