Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Ivan Matychyn"'
Autor:
Ivan Matychyn
Publikováno v:
Symmetry, Vol 11, Iss 11, p 1366 (2019)
This paper deals with the initial value problem for linear systems of fractional differential equations (FDEs) with variable coefficients involving Riemann−Liouville and Caputo derivatives. Some basic properties of fractional derivatives and antide
Externí odkaz:
https://doaj.org/article/717d71a9b8004d1d91ca43ff4feb1e97
Autor:
Ivan Matychyn
Publikováno v:
Dynamic Games and Applications. 10:145-156
This work was inspired by an example of a pursuit strategy whereby a pursuer approaches an evader while appearing stationary to the latter. This effect is achieved due to the fact that the pursuer P stays on the line connecting some fixed reference p
Autor:
Ivan Matychyn, Viktoriia Onyshchenko
Publikováno v:
Fractional Calculus and Applied Analysis. 22:170-179
Optimal control problem for linear systems of arbitrary fractional order in the sense of Riemann–Liouville is treated in the paper. The technique of attainability sets and their support functions is used to obtain sufficient conditions for time-opt
Autor:
Ivan Matychyn, Viktoriia Onyshchenko
Publikováno v:
Journal of Computational and Applied Mathematics. 339:245-257
Fractional optimal control problem is treated from convex-analytical viewpoint. Sufficient conditions for time-optimal control similar to that of Pontryagin’s maximum principle are obtained for fractional-order systems in the sense of Riemann–Lio
Autor:
Viktoriia Onyshchenko, Ivan Matychyn
Publikováno v:
Fractional Calculus and Applied Analysis. 21:134-150
Autor:
Ivan Matychyn, Viktoriia Onyshchenko
The paper deals with the initial value problem for linear systems of FDEs with variable coefficients involving Riemann--Liouville and Caputo derivatives. The technique of the generalized Peano--Baker series is used to obtain the state-transition matr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b73a71c9c8dc8892acd32da8535a204e
Publikováno v:
Journal of Automation and Information Sciences. 48:37-45
Autor:
Ivan Matychyn, Viktoriia Onyshchenko
Publikováno v:
Fractional Calculus and Applied Analysis. 18:687-696
Publikováno v:
Journal of Automation and Information Sciences. 47:43-53
Autor:
Ivan Matychyn
In 1993, Samko and Ross introduced the study of fractional integration and differentiation when the order is not a constant but a function. This suggestion gave rise to a number of further ideas and results. In particular, this implies a possibility
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f7b9d3f43e9af3a391ce0f7915cb295e