Expansion of a solver for nonlinear fractional problems - the inclusion of time delays

Abstract

The study concerns a numerical solver that can be applied in Matlab and Octave. At this stage where the solver is able to solve nonlinear fractional problems - an initial study is made at the attempt to support the inclusion of time delays. The aim is for the solver to be able to solve delay nonlinear fractional differential equations. An example of control theory is brought forth and solved. The error estimation results are presented and a verification of the solution is performed. The verification especially targets the time delay, which is a new element that can be included in problems supported by the solver.