We consider computational problems in the framework of nonpower Analityc Perturbation Theory and Fractional Analytic Perturbation Theory that are the generalization of the standard QCD perturbation theory. The singularity-free, finite couplings ${ \cal A}_{ \nu}(Q^2),{ \mathfrak A}_{ \nu}(s)$ appear in these approaches as analytic images of the standard QCD coupling powers $\alpha_s^{ \nu}(Q^2)$ in the Euclidean and Minkowski domains, respectively. We provide a package "FAPT" based on the system Mathematica for QCD calculations of the images ${ \mathcal A}_{ \nu}(Q^2)$, ${ \mathfrak A}_{ \nu}(s)$ up to N$^3$LO of renormalization group evolution. Application of these approaches to Bjorken sum rule analysis and $Q^2$-evolution of higher twist $\mu_4^{ p-n}$ is considered.
Categories: hep-ph