Evaluation of Students` Learning Based on Cybernetic Models with Differential Equations of Fractional Order

摘要

In this paper, the implementation of a cybernetic learning model based on differential equations of fractional order is justified. Experimental learning results were obtained by testing students during the academic semester. Based on a heterogeneous differential equation with integer order, learning graphs have been compared to a family of models with fractional order equations. Consequently, fractional-order equations are proved to have better approximation properties. Criteria for assessing the learning and differentiation of teaching methods based on the parameters of fractional order equations are proposed.