Yazar "Merdan, Mehmet" için WoS İndeksli Yayınlar Koleksiyonu listeleme
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A Multistage Variational Iteration Method for Solution of Delay Differential Equations
Gokdogan, Ahmet; Merdan, Mehmet; Erturk, Vedat Suat (Walter De Gruyter Gmbh, 2013)In this paper, the approximate solution of delay differential equations is obtained by a reliable algorithm based on an adaptation of the classical variational iteration method (VIM), which is called the multi-stage ... -
THE NEW SUMUDU TRANSFORM ITERATIVE METHOD FOR STUDYING THE RANDOM COMPONENT TIME-FRACTIONAL KLEIN-GORDON EQUATION
Merdan, Mehmet; Anac, Halil; Kesemen, Tulay (Yildiz Technical Univ, 2019)In this study, the solutions of the random component time-fractional Klein-Gordon equation is obtained as approximately or exactly. The initial condition of this Klein-Gordon equation is studied by Gamma distribution. The ... -
A numeric-analytic method for time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative
Merdan, Mehmet (Elsevier Science Inc, 2013)In this paper, the fractional variational iteration method (FVIM) was applied to obtain the approximate solutions of time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative. A new application ... -
Numerical Approximations to Solution of Biochemical Reaction Model
Yildirim, Ahmet; Gokdogan, Ahmet; Merdan, Mehmet (Berkeley Electronic Press, 2011)In this paper, approximate analytical solution of biochemical reaction model is used by the multi-step differential transform method (MsDTM) based on classical differential transformation method (DTM). Numerical results ... -
Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method
Merdan, Mehmet; Gokdogan, Ahmet; Yildirim, Ahmet; Mohyud-Din, Syed Tauseef (Hindawi Publishing Corporation, 2012)An approximate analytical solution of fractional Fornberg-Whitham equation was obtained with the help of the two-dimensional differential transformation method (DTM). It is indicated that the solutions obtained by the ... -
Numerical solution of the fractional-order Vallis systems using multi-step differential transformation method
Merdan, Mehmet (Elsevier Science Inc, 2013)In this paper, we examine a fractional order Vallis systems. We also fulfil a detailed analysis on the stability of equilibrium. Multi-step differential transform method (MsDTM) extends to give approximate and analytical ... -
Numerical solution of time-fraction modified equal width wave equation
Merdan, Mehmet; Yildirim, Ahmet; Gokdogan, Ahmet (Emerald Group Publishing Ltd, 2012)Purpose - The purpose of this paper is to show how an application of fractional two dimensional differential transformation method (DTM) obtained approximate analytical solution of time-fraction modified equal width wave ... -
On numerical solution to fractional non-linear oscillatory equations
Merdan, Mehmet; Gokdogan, Ahmet; Yildirim, Ahmet (Springer, 2013)In this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations. ... -
On the numerical solution of the model for HIV infection of CD4(+) T cells
Merdan, Mehmet; Gokdogan, Ahmet; Yildirim, Ahmet (Pergamon-Elsevier Science Ltd, 2011)In this article, a variational iteration method (VIM) is performed to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as a model for HIV infection of CD4(+) T cells. A ... -
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 ... -
ON THE SOLUTIONS OF TIME-FRACTIO3NAL GENERALIZED HIROTA-SATSUMA COUPLED-KDV EQUATION WITH MODIFIED RIEMANN-LIOUVILLE DERIVATIVE BY AN ANALYTICAL TECHNIQUE
Merdan, Mehmet (Editura Acad Romane, 2015)In this paper, the fractional variational iteration method (FVIM) was implemented to solve time-fractional generalized Hirota-Satsuma coupled-KDV equation with modified Riemann-Liouville derivative. A new application of ... -
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 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 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 ... -
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 ...