Isoclinal matrices and numerical solution of fractional differential equations

A matrix form representation of discrete analogs of various forms of fractional differentiation and fractional integration is suggested. The suggested approach is new, and it can be used in all fields related to fractional-order dynamical systems and fractional-order control, including development of algorithms and software for real-time control, PI λ D μ controllers, and modelling and simulation of fractional-order dynamical systems.