output
20072020
most citedNon-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

180 citations

18 papers

math.AP2020★ 33 cited

Stability analysis of multi-term fractional-differential equations with three fractional derivatives

Oana Brandibur, Eva Kaslik

Necessary and sufficient stability and instability conditions are obtained for multi-term homogeneous linear fractional differential equations with three Caputo derivatives and con…

math.DS2019★ 18 cited

Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations

Oana Brandibur, Eva Kaslik

Necessary and sufficient conditions are explored for the asymptotic stability and instability of linear two-dimensional autonomous systems of fractional-order differential equation…

math.DS2017★ 33 cited

Stability of two-component incommensurate fractional-order systems and applications to the investigation of a FitzHugh-Nagumo neuronal model

Oana Brandibur, Eva Kaslik

For two-dimensional autonomous linear incommensurate fractional-order dynamical systems with Caputo derivatives of different orders, necessary and sufficient conditions are obtaine…

math.DS2017

Stability and Hopf bifurcation analysis of a four-dimensional hypothalamic-pituitary-adrenal axis model with distributed delays

Eva Kaslik, Mihaela Neamtu

A four-dimensional mathematical model of the hypothalamus-pituitary-adrenal (HPA) axis is investigated, incorporating the influence of the GR concentration and general feedback fun…

math.CO2017

On the heapability of finite partial orders

János Balogh, Cosmin Bonchiş, Diana Diniş +2

We investigate the partitioning of partial orders into a minimal number of heapable subsets. We prove a characterization result reminiscent of the proof of Dilworth's theorem, whic…

math.DS2016★ 23 cited

Stability properties of a two-dimensional system involving one Caputo derivative and applications to the investigation of a fractional-order Morris-Lecar neuronal model

Oana Brandibur, Eva Kaslik

Necessary and sufficient conditions are given for the asymptotic stability and instability of a two-dimensional incommensurate order autonomous linear system, which consists of a d…