Kurum Yazarı "Merdan, Mehmet" İçin Listeleme
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1 of 1 Analysis of a discrete time fractional-order Vallis system
Sisman, Seyma; Merdan, Mehmet (ELSEVIER, 2024)Vallis system is a model describing nonlinear interactions of the atmosphere and temperature fluctuations with a strong influence in the equatorial part of the Pacific Ocean. As the model approaches the fractional order ... -
Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method
Oral, Pınar; Merdan, Mehmet; Bekiryazıcı, Zafer (2019)In this paper, the differential transformation method is used to examine the random Zeeman Heartbeat Model. Some of the parameters and the initial conditions of the model are taken as random variables with Beta and Normal ... -
An approximate solution of a model for HIV infection of CD4+ T cells
Merdan, Mehmet; Gökdoğan, Ahmet; Ertürk, Vedat Suat (Shiraz University, 2011)In this paper, the approximate solution of the differential system modeling HIV infection of CD4+ T cells is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which ... -
DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL
Merdan, Mehmet; Şişman, Şeyma (EDITURA ACAD ROMANE, 2022)In this study, the differential equation system with a mathematical model of parasites is examined in cases where infection does not depend on transmission and defense, but on the level of infectivity and defense of the ... -
Homotopy Perturbation Elzaki Transform Method for Obtaining the Approximate Solutions of the Random Partial Differential Equations
Anaç, Halil; Merdan, Merdan; Kesemen, Tülay (Gazi University, 2022)The series solutions of the random nonlinear partial differential equations have been examined by a hybrid method. The random nonlinear partial differential equations are studied by both normal and uniform distributions. ... -
Homotopy perturbation method for solving a three-species food chain model
Merdan, Mehmet (2010)In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equa tion systems such as a three-species food chain model. The proposed scheme ... -
Investigation of Behavior on Solutions of Lane-Emden Complex Differential Equations by a Random Differential Transformation Method
Merdan, Mehmet; Merdan, Merve; Şahin, Ridvan (Hindawi Limited, 2023)In this study, Lane-Emden complex differential equations have been randomized by selecting random variables for the coefficients, initial conditions, and force functions of complex differential equations. In addition, by ... -
MODELING DISEASE TRANSMISSION DYNAMICS WITH RANDOM DATA AND HEAVY TAILED RANDOM EFFECTS: THE ZIKA CASE
Bekiryazici, Zafer; Kesemen, Tülay; Merdan, Mehmet; Khaniyev, Tahir A. (Isik University, 2023)In this study, we investigate a compartmental model of Zika Virus transmission under random effects. Random effects enable the analysis of random numerical characteristics of transmission, which cannot be modeled through ... -
A MODIFICATION OF APPROXIMATE RANDOM CHARACTERISTICS FOR A MODEL OF ZIKA VIRUS TRANSMISSION
Bekiryazici, Zafer; Kesemen, Tulay; Merdan, Mehmet; Khaniyev, Tahir (Serbian Society of Heat Transfer Engineers, 2022)In this study, a theoretical model of Zika virus transmission is investigated with random parameters. The parameters of a deterministic model are transformed to random variables to obtain a system of random differential ... -
A new application of modified differential transformation method for modelling the pollution of a system of lakes
Merdan, Mehmet (2010)In this papers, a new application of modified differential transformation method (MDTM) is implemented to solve analytically systems of nonlinear ordinary differential equations such as modelling the pollution of a system ... -
On the solution of random linear difference equations with Laplace transform method
Merdan, Mehmet; Şişman, Şeyma (John Wiley and Sons Ltd, 2023)In this study, Laplace transformation, which is very important for solutions to initial value problems, is examined. To solve the initial value problem of a discrete-time equation, Laplace implements the conversion method. ... -
On the solutions of fractional random ordinary differential equations with the Residual power series method
Merdan, Mehmet; Atasoy, Nihal (Elsevier B.V., 2023)In this study, random ordinary differential equations obtained by randomly choosing the coefficients or initial conditions of the ordinary differential equations will be analyzed by the Residual Power Series Method. The ... -
Solution of nonlinear oscillators with fractional nonlinearities by using the modified differential transformation method
Merdan, Mehmet; Gökdoğan, Ahmet (2011)In this paper, an aproximate analytical method called the differential transform method (DTM) is used as a tool to give approximate solutions of nonlinear oscillators with fractional nonlinearites. The differential ... -
Transmission of Cholera Disease with Laplacian and Triangular Parameters
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khaniyev, Tahir (Iranian Academic Center for Education, Culture and Research, 2022)A mathematical model has been introduced for the transmission dynamics of cholera disease by GQ Sun et al. recently. In this study, we add Laplacian and Triangular random effects to this model and analyze the variation of ... -
Wong-Zakai approximation for stochastic models of smoking
Sengul, Sueleyman; Bekiryazici, Zafer; Merdan, Mehmet (YILDIZ TECHNICAL UNIV, 2023)In this study, Wong-Zakai approximation method has been used to obtain approximate solutions for two compartmental models of smoking dynamics. Stratonovich stochastic differential equation systems are obtained for these ...