Yazar "Merdan, Mehmet" için Scopus İndeksli Yayınlar Koleksiyonu listeleme
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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 ... -
On the solutions of nonlinear fractional Klein-Gordon equation with modified Riemann-Liouville derivative
Merdan, Mehmet (Elsevier Science Inc, 2014)In this paper, fractional variational iteration method (FVIM) is applied for finding approximate analytical solutions of nonlinear fractional Klein-Gordon equation. Time-fractional derivative is described in the Riemann-Liouville ... -
A simplified neutrosophic multiplicative set-based TODIM using water-filling algorithm for the determination of weights
Koseoglu, Ali; Sahin, Ridvan; Merdan, Mehmet (Wiley, 2020)Due to the technological developments around the world, the amount of information that researchers work on increases continuously. This information density contains incomplete and uncertain data that cannot be fully expressed ... -
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 ... -
Solution of time-fractional generalized Hirota-Satsuma coupled KdV equation by generalised differential transformation method
Merdan, Mehmet; Gokdogan, Ahmet; Yildirim, Ahmet; Mohyud-Din, Syed Tauseef (Emerald Group Publishing Ltd, 2013)Purpose - In this article, the aim is to obtain an approximate analytical solution of time-fraction generalized Hirota-Satsuma coupled KDV with the help of the two dimensional differential transformation method (DTM). Exact ... -
Solving a fractional order model of HIV infection of CD4(+) T cells
Gokdogan, Ahmet; Yildirim, Ahmet; Merdan, Mehmet (Pergamon-Elsevier Science Ltd, 2011)In this paper, a multi-step differential transform method (MsDTM) is performed to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems such as a model for HIV ... -
Solving for the random component time-fractional partial differential equations with the new Sumudu transform iterative method
Anac, Halil; Merdan, Mehmet; Kesemen, Tulay (Springer International Publishing Ag, 2020)The new Sumudu transform iterative method is implemented to get the approximate solutions of random component time-fractional partial differential equations with Caputo derivative. The parameters and the initial conditions ... -
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 METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN ENGINEERING
Sengul, Suleyman; Bekiryazici, Zafer; Merdan, Mehmet (Vinca Inst Nuclear Sci, 2021)In this paper, Wong-Zakai approximation methods are presented for some stochastic differential equations in engineering sciences. Wong-Zakai approximate solutions of the equations are analyzed and the numerical results are ...