APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE

In this work, we consider some fractional differential equations with different boundary conditions. Sinc-collocation method (SCM) has been employed to obtain the approximate solution for these fractional boundary value problems (FBVPs). Beta-derivative is taken for the fractional derivatives. Intercalarity, several test samples with numerical simulations are handled. Convergence analysis shows that SCM is a consistent and effective method