chebyshev cardinal functions: an effective tool for solving nonlinear volterra and fredholm integro-differential equations of fractional order

a computational method for numerical solution of a nonlinear volterra and fredholm integro-differentialequations of fractional order based on chebyshev cardinal functions is introduced. the chebyshev cardinaloperational matrix of fractional derivative is derived and used to transform the main equation to a system ofalgebraic equations. some examples are included to demonstrate the validity and applicability of the technique.