Yazar "Zaman, Gul" için listeleme
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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 ... -
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 ... -
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 ... -
A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives
Erturk, Vedat Suat; Zaman, Gul; Momani, Shaher (Pergamon-Elsevier Science Ltd, 2012)Smoking is one of the main causes of health problems and continues to be one of the world's most significant health challenges. In this paper, the dynamics of a giving up smoking model containing fractional derivatives is ...
