Application of SubIval in solving initial value problems with fractional derivatives

SubIval has been implemented into an ActiveX Dynamic-Link Library (DLL). The paper contains instructions on how the predictor-corrector algorithm can be implemented into a Computer Algebra System, where the SubIval library is applied for the fractional derivative approximation. Examples of this are given in the form of scripts in MATLAB and Mathematica. These scripts generally allow to solve systems of fractional order state equations, to which the introduced circuit examples can be brought to.