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Browsing Fakülteler / Faculties by Author "Gürcan, Fuat"

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Discretization of conformable fractional differential equations by a piecewise constant approximation

Kartal, Şenol; Gürcan, Fuat (Taylor & Francis, 2019-09-02)

In this paper, a conformable fractional-order logistic differential equation including both discrete and continuous time is taken into account. By using a piecewise constant approximation, a discretization method which ...
Dynamical analysis of discretized Logistic model with Caputo-Fabrizio fractional derivative

Karakaya, Hatice; Öztürk, İlhan; Gürcan, Fuat; Kartal, Şenol (2021)

In this paper we consider a fractional order Logistic model with Caputo-Fabrizio fractional derivative. By applying two-step Adams-Bashforth scheme, we obtain a system of difference equations. By using the SchurCohn ...
Modelling and analysis of a phytoplankton zooplankton system with continuous and discrete time.

Kartal, Şenol; Kar, Musa; Gürcan, Fuat; Kartal, Neriman (2016-07)

In this study, a phytoplankton–zooplankton system has been modelled using a system of differential equations with piecewise constant arguments, which represents a new approach to modelling phytoplankton– zooplankton ...
Stability and bifurcation analysis of a mathematical model for tumor-immune interaction with piecewise constant arguments of delay

Kartal, Şenol; Gürcan, Fuat; Öztürk, İlhan; Bozkurt, Fatma (Elsevier, 2014-06-01)

In this paper, we propose and analyze a Lotka–Volterra competition like model which consists of system of differential equations with piecewise constant arguments of delay to study of interaction between tumor cells and ...