Yazar "Erturk, Vedat Suat" için listeleme
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Application of generalized differential transform method to multi-order fractional differential equations
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid (Elsevier, 2008)In a recent paper [Odibat Z, Momani S, Erturk VS. Generalized differential transform method: application to differential equations of fractional order, Appl. Math Comput. submitted for publication] the authors presented a ... -
Application of Multi-Step Differential Transform Method For the Analytical and Numerical Solutions of the Density Dependent Nagumo Telegraph Equation
Erturk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher (Editura Acad Romane, 2012)The Differential Transform Method (DTM) is an analytical and numerical method for solving a wide variety of differential equations and usually gets the solution in a series form. The multi-step DTM is treated as an algorithm ... -
Application of the modified differential transform method to fractional oscillators
Abu-Gurra, Sana; Erturk, Vedat Suat; Momani, Shaher (Emerald Group Publishing Ltd, 2011)Purpose - The purpose of this paper is to find a semi-analytic solution to the fractional oscillator equations. In this paper, the authors apply the modified differential transform method to find approximate analytical ... -
An approach for approximate solution of fractional-order smoking model with relapse class
Zeb, Anwar; Erturk, Vedat Suat; Khan, Umar; Zaman, Gul; Momani, Shaher (World Scientific Publ Co Pte Ltd, 2018)In this paper, we develop a fractional-order smoking model by considering relapse class. First, we formulate the model and find the unique positive solution for the proposed model. Then we apply the Grunwald-Letnikov ... -
An approximate solution method for the fractional version of a singular BVP occurring in the electrohydrodynamic flow in a circular cylindrical conduit
Alomari, A. K.; Erturk, Vedat Suat; Momani, Shaher; Alsaedi, Ahmed (Springer Heidelberg, 2019)The aim of the present study is to obtain approximate solutions of the fractional counterpart of a boundary value problem that appears in electrohydrodynamic flows by using generalized differential transform method (in ... -
An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4(+) T-cells
Erturk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher (Pergamon-Elsevier Science Ltd, 2011)In this paper, a fractional order differential system for modeling human T-cell lymphotropic virus I (HTLV-I) infection of CD4(+) T-cells is studied and its approximate solution is presented using a multi-step generalized ... -
Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
Zeb, Anwar; Zaman, Gul; Erturk, Vedat Suat; Alzalg, Baha; Yousafzai, Faisal; Khan, Madad (Public Library Science, 2016)In this work, we consider giving up smoking dynamic on adolescent nicotine dependence. First, we use the Caputo derivative to develop the model in fractional order. Then we apply two different numerical methods to compute ... -
Comparing Two Numerical Methods for Approximating a New Giving Up Smoking Model Involving Fractional Order Derivatives
Erturk, Vedat Suat; Zaman, Gul; Alzalg, Baha; Zeb, Anwar; Momani, Shaher (Springer International Publishing Ag, 2017)In a recent paper (Zeb et al. in Appl Math Model 37(7):5326-5334, 2013), the authors presented a new model of giving up smoking model. In the present paper, the dynamics of this new model involving the Caputo derivative ... -
Comparison of Numerical Methods of the SEIR Epidemic Model of Fractional Order
Zeb, Anwar; Khan, Madad; Zaman, Gul; Momani, Shaher; Erturk, Vedat Suat (Verlag Z Naturforsch, 2014)In this paper, we consider the SEW (Susceptible-Exposed-Infected-Recovered) epidemic model by taking into account both standard and bilinear incidence rates of fractional order. First, the non-negative solution of the SEIR ... -
The differential transform method and Pade approximants for a fractional population growth model
Erturk, Vedat Suat; Yildirim, Ahmet; Momanic, Shaher; Khan, Yasir (Emerald Group Publishing Ltd, 2012)Purpose - The purpose of this paper is to propose an approximate method for solving a fractional population growth model in a closed system. The fractional derivatives are described in the Caputo sense. Design/methodology/approach ... -
Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
Asma; Ali, Nigar; Zaman, Gul; Zeb, Anwar; Erturk, Vedat Suat; Jung, Il Hyo (Wiley-Hindawi, 2019)This article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order ... -
Dynamical analysis of the Irving-Mullineux oscillator equation of fractional order
Abbas, Syed; Erturk, Vedat Suat; Momani, Shaher (Elsevier Science Bv, 2014)Objective: Objective of this work is to study the fractional counterpart of the Irving-Mullineux nonlinear oscillator equation and compare the result with the integer order equation theoretically as well as numerically. ... -
Fuzzy Calculus Theory and Its Applications
Abu Arqub, Omar; Pinto, Carla; Rodriguez Lopez, Rosana; Erturk, Vedat Suat (Wiley-Hindawi, 2018)… -
Generalized differential transform method for solving a space-and time-fractional diffusion-wave equation
Momani, Shaher; Odibat, Zaid; Erturk, Vedat Suat (Elsevier Science Bv, 2007)In this Letter we propose a new generalization of the two-dimensional differential transform method that will extend the application of the method to a diffusion-wave equation with space- and time-fractional derivatives. ... -
Generalized differential transform method: Application to differential equations of fractional order
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat (Elsevier Science Inc, 2008)In this paper we propose a new generalization of the one-dimensional differential transform method that will extend the application of the method to differential equations of fractional order. The new generalization is ... -
Influence of thermal and concentration gradients on unsteady flow over a stretchable surface
Ahmed, Naveed; Adnan; Khan, Umar; Mohyud-Din, Syed Tauseef; Erturk, Vedat Suat (Elsevier Science Bv, 2017)The aim of this letter is to investigate the unsteady flow of incompressible fluid in the presence of thermal and concentration gradients over a bi-directional stretchable flat sheet that placed in nonporous media. The ... -
MHD Flow of a Viscous Fluid Between Dilating and Squeezing Porous Walls
Ahmed, Naveed; Erturk, Vedat Suat; Khan, Umar; Mohyud-Din, Syed; Bin-Mohsin, Bandar (Springer International Publishing Ag, 2017)In this article, flow of laminar, isothermal, incompressible electrically conducting viscous fluid is considered in a rectangular domain with infinite length and bounded by two orthogonally moving porous walls that enable ... -
The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators
Erturk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher (Global Science Press, 2012)In this paper, a reliable algorithm based on an adaptation of the standard differential transform method is presented, which is the multi-step differential transform method (MSDTM). The solutions of non-linear oscillators ... -
A multistage variational iteration method for approximate-analytic solution of avian-human influenza epidemic model
Gokdogan, Ahmet; Merdan, Mehmet; Erturk, Vedat Suat (Academic Publication Council, 2012)In this paper, the approximate solution of avian-human influenza epidemic model is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which is called the multi-stage ... -
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 ...
