Browsing by Publisher "Isik University"

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    Locally and weakly contractive principle in bipolar metric spaces
    (Isik University, 2020) Mutlu A.; Özkan K.; Gürdal U.
    In this article, we introduce concepts of (e; λ)-uniformly locally contractive and weakly contractive mappings, which are generalizations of Banach contraction mapping, in bipolar metric spaces. Also, we express the results showing the existence and uniqueness of fixed point for these mappings. © Isik University, Department of Mathematics, 2020.
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    SEMI-ANALYTICAL APPROACH FOR SOLVING A MODEL FOR HIV INFECTION OF CD4+ T-CELLS
    (Isik University, 2021) Deniz S.
    In this work, a mathematical model for the human immunodeficiency virus (HIV) infection of CD4+ T-cells by using the optimal perturbation iteration method (OPIM) is analyzed. Optimization and classical perturbation techniques are combined to build the new proposed method. The iteration algorithm for systems of nonlinear differential equations for this optimal perturbation iteration technique is constructed for the first time. A test problem has been solved and some plots are given to show the reliability and efficiency of the proposed method. Obtained results exhibit the effectiveness and accuracy of the semi-analytical technique. © Işık University, Department of Mathematics, 2021. all rights reserved.
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    NUMERICAL METHOD BASED ON BOOLE POLYNOMIAL FOR SOLUTION OF GENERAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH HYBRID DELAYS
    (Isik University, 2024) Biçer K.E.; Dag H.G.
    In this paper, the approximate solution of general functional integro differential equaions with hybrid delays is examined using of Boole polynomials and the collocation points. The solution is obtained as a truncated Boole series on a closed interval in the set of real numbers. By using this method, the approximate solutions of the problems are found. In addition, the error functions of the solutions are calculated by using the residual functions. Furthermore, the fundamental properties of the Boole polynomials and their generating functions are studied. Relationships between Boole polynomials and numbers, Stirling numbers and Euler polynomials and numbers are presented. TWMS Journal of Applied and Engineering Mathematics, Vol.14, No.3 © Işık University, Department of Mathematics, 2024; all rights reserved.