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.
Atslēgas vārdi
learning , cybernetic model , fractional differential equations
DOI
10.1109/e-Engineering47629.2021.9470610
Hipersaite
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. No: 2021 International e-Engineering Education Services Conference (e-Engineering 2021): Proceedings, Jordānija, Petra, 22.-23. jūnijs, 2021. Piscataway: IEEE, 2021, 84.-87.lpp. ISBN 978-1-7281-3471-0. e-ISBN 978-1-7281-3470-3. Pieejams: doi:10.1109/e-Engineering47629.2021.9470610
Publikācijas valoda
English (en)