Yazar "Sakar, F. M." seçeneğine göre listele

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    Faber Polynomial Coefficient Estimates for Subclasses of m-Fold Symmetric Bi-univalent Functions Defined by Fractional Derivative
    (Univ Putra Malaysia Press, 2017) Sakar, F. M.; Guney, H. O.
    A new subclass of bi-univalent functions both f and f(-1) which are mfold symmetric analytic functions are investigated in this study. We also determine the estimate for the general Taylor-Maclaurin coefficient of the functions in this class. Furthermore, using the Faber polynomial expansion, upper bounds of |a(m+1)|, |a(2m+1)|, and |a(m+1)(2) - a(2m+1)| coefficients for analytic bi-univalent functions defined by fractional calculus are found in this study.
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    On a Nonlinear Fractional-Order Model of COVID-19 Under AB-Fractional Derivative
    (Islamic Azad Univ, Shiraz Branch, 2021) Aydogan, S. M.; Hussain, A.; Sakar, F. M.
    In this paper, we present a BOX mathematical model for the release of COVID-19.We intend to generalize the model to fractional order derivative in Atangana-Baleanu sense and to show the existence of solution for the fractional model using Schaefer's fixed point theorem and for the uniqueness of solution we make use of Banach fixed point theorem. By using Shehu transform and Picard successive iterative procedure, we explore the iterative solutions and its stability for the considered fractional model. Given the beginning of a new wave of COVID-19 spread in Indonesia, we present a numerical simulation to study and predict the spread of the disease in this country.
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    A Study on Harmonic Univalent Function with (p, q)-Calculus and Introducing (p, q)-Poisson Distribution Series
    (Islamic Azad Univ, Shiraz Branch, 2023) Canbulat, A.; Sakar, F. M.
    Looking at the history of fractional derivatives, it can be clearly seen that various generalizations have been presented for it regularly by researchers. Perhaps, in the meantime, the derivative of the q-fraction has received more attention due to the provision of discrete space and the entry of the computer into the computing scene. But recently, a new generalization has been presented for the q-derivative, namely (p, q)-derivative. In this research, we intend to define the (p, q)-Poisson distribution of harmonic functions by using (p, q)-derivatives. Some numerical result provided for (p, q)-analogue to make our presentation more objective. Also, we defined (p, q)-analogue of exponential function, then we use it to express the (p, q)-Poisson distribution. By that, we will check the conditions of Poisson distribution for two subclasses of harmonic univalent functions.
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    A Study on Various Subclasses of Uniformly Harmonic Starlike Mappings by Pascal Distribution Series
    (Islamic Azad Univ, Shiraz Branch, 2023) Tasar, N.; Sakar, F. M.; Seker, B.
    In this paper, we investigate the subclasses of harmonic univalent functions by implementing specific convolution operators such as the Pascal distribution series. We also, examine the inclusion relations of these functions. Moreover, we investigate several mapping properties involving these subclasses.
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    Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
    (Elsevier Science Inc, 2018) Sakar, F. M.; Aydogan, M.
    Let's take f(z) = h (z) + <(g(z))over bar> which is an univalent sense-preserving harmonic functions in open unit disc D = {z : vertical bar z vertical bar < 1}. If f (z) fulfills vertical bar w(z)vertical bar = |g'(z)/h'(z)vertical bar < m, where 0 <= m < 1, then f(z) is known m-quasiconformal harmonic function in the unit disc (Kalaj, 2010) [8]. This class is represented by S-H(m). The goal of this study is to introduce certain features of the solution for non- linear partial differential equation <(f)over bar>((z) over bar) = w(z)f(z) when vertical bar w(z)vertical bar < m, w(z) (sic) m(2)(b(1)-z)/m(2)-b(1)z, h(z) is an element of S*(A, B). In such case S*(A, B) is known to be the class for Janowski starlike functions. We will investigate growth theorems, distortion theorems, jacobian bounds and coefficient ineqaulities, convex combination and convolution properties for this subclass. (C) 2017 Published by Elsevier Inc.