On fractional backward differential formulas methods for fractional differential equations with delay (Q1794630)

The authors apply fractional backward difference formulae approaches to provide a numerical solution of some basic linear delay equations of fractional order. They provide a classical stability analysis of the resulting difference schemes and present diagrams illustrating the stability regions. Numerical examples, chosen so that the solution is smooth, are used to illustrate the absolute errors and convergence orders of the resulting methods. The paper concludes with some discussion of the impact of small perturbations in the parameters of the equation, as a practical example of the stability behaviour investigated earlier in the paper.