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

2021 International e-Engineering Education Services Conference (e-Engineering 2021): Proceedings 2021
Victor Busher, Oleksii Chornyi Chornyi, Larisa Herasymenko, Valeriy Tytyuk, Kamal Khandakji Khandakji, Jānis Zaķis

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.

Keywords
learning , cybernetic model , fractional differential equations
DOI
10.1109/e-Engineering47629.2021.9470610
Hyperlink
https://ieeexplore-ieee-org.resursi.rtu.lv/stamp/stamp.jsp?tp=&arnumber=9470610

Busher, V., Chornyi, O., Herasymenko, L., Tytyuk, V., Khandakji, K., Zaķis, J. Evaluation of Students' Learning Based on Cybernetic Models with Differential Equations of Fractional Order. In: 2021 International e-Engineering Education Services Conference (e-Engineering 2021): Proceedings, Jordan, Petra, 22-23 June, 2021. Piscataway: IEEE, 2021, pp.84-87. ISBN 978-1-7281-3471-0. e-ISBN 978-1-7281-3470-3. Available from: doi:10.1109/e-Engineering47629.2021.9470610

Publication language
English (en)