Yazar "Aydoğan, Seher Melike" seçeneğine göre listele

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    Coefficient Bounds for a Subclass of $m$-fold Symmetric Bi-univalent Functions Involving Hadamard Product and Differential Operator
    (Murat TOSUN, 2019) Sakar, Fethiye Müge; Aydoğan, Seher Melike; Altınkaya, Şahsene
    In this study, we construct a new subclass of $m$-fold symmetric bi-univalent functions using by Hadamard product and generalized Salagean differential operator in the open unit disk $U=\left\{ z\in \mathbb{C} :\left\vert z\right\vert <1\right\} $. We establish upper bounds for the coefficients $\left\vert a_{m+1}\right\vert $ and $\left\vert a_{2m+1}\right\vert $ belonging to this new class. The results presented here generalize some of the earlier studies.
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    Exploring subordination and argument behavior in a new class of analytic functions
    (Wiley, 2025) Göksel, İzzet; Bekçi, Zeynep; Aydoğan, Seher Melike; Sakar, Fethiye Müge
    The class Ap includes functions with a specific starting term and higher-order terms in their series, and studying these functions involves examining their analytic properties, argument behavior, and subordination characteristics, which lead to various interesting and significant results in complex analysis. The functions within Ap are designed to explore properties that arise from their structure and the way their series are constructed, and the main interest in this class lies in analyzing how these functions behave in various mathematical contexts, particularly in relation to argument shifts and the relationships between different functions. In a nutshell, the class Ap offers a framework for examining a specific type of analytic function with a structured series expansion, thereby allowing for a deeper investigation into their mathematical properties and applications. The new class Ap, which is related to the class Ap, is characterized by functions that are analytic in the open unit disk and have a specific series expansion involving fractional powers. The object of this paper is to discuss some interesting applications of f(z)is an element of Ap concerning argument problems and subordinations, and furthermore, prominent examples for the main results are given.
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    Some results on a system of multiterm fractional integro-differential equations
    (TUBITAK, 2020) Rezapour, Shahram; Sakar, Fethiye Müge; Aydoğan, Seher Melike; Ravash, Elahe
    In present study, we investigate the existence of solution for a multiterm fractional integro-differential system with special boundary conditions under some different conditions. In this way, we provide different results for the existence of solutions for the system and also for obtaining unique solution for the system under different conditions. We also present three numerical examples in which by using the Legendre multiwavelet method, we approximate solutions of the system. These examples illustrate our main results. © This work is licensed under a Creative Commons Attribution 4.0 International License
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    Two hybrid and non-hybrid k-dimensional inclusion systems via sequential fractional derivatives
    (Springer Science and Business Media Deutschland GmbH, 2021) Aydoğan, Seher Melike; Sakar, Fethiye Müge; Fatehi, Mostafa; Rezapour, Shahram; Masiha, Hashem Parvaneh
    Some complicated events can be modeled by systems of differential equations. On the other hand, inclusion systems can describe complex phenomena having some shocks better than the system of differential equations. Also, one of the interests of researchers in this field is an investigation of hybrid systems. In this paper, we study the existence of solutions for hybrid and non-hybrid k-dimensional sequential inclusion systems by considering some integral boundary conditions. In this way, we use different methods such as α-ψ contractions and the endpoint technique. Finally, we present two examples to illustrate our main results.