A numerical method for solving fractional one-dimensionalDirac operator

In this manuscript, the pseudospectral method for solving the one–dimensionalCaputo fractional Dirac operator are presented. The base of this method is transformingthe problem to a weakly singular Volterra integro-differential equation. Forthis purpose first, the matrices obtained from the representation of the fractional integrationoperator based on Chebyshev cardinal functions. To obtain approximationof the eigenvalues of the problem, the roots of the characteristics matrix function arefind. Finally, Some numerical examples are presented to illustrate the ability andaccuracy of the method.

کلیدواژه ها:

Dirac operator ، fractional differential equation ، pseudospectral method