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Browsing by Author "Karatas, Esra"

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    Article
    Citation - WoS: 61
    Citation - Scopus: 82
    Numerical Solutions of Fractional Differential Equations of Lane-Emden Type by an Accurate Technique
    (Springer international Publishing Ag, 2015) Inc, Mustafa; Karatas, Esra; Baleanu, Dumitru; Akgul, Ali; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this work, we study the fractional order Lane-Emden differential equations by using the reproducing kernel method. The exact solution is shown in the form of a series in the reproducing kernel Hilbert space. Some numerical examples are given in order to demonstrate the accuracy of the present method. The results obtained from the method are compared with the exact solutions and another method. The obtained numerical results are better than the ones provided by the collocation method. Results of numerical examples show that the presented method is simple, effective, and easy to use.
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    Article
    Citation - WoS: 20
    Citation - Scopus: 20
    On Soliton Solutions of the Wu-Zhang System
    (de Gruyter Open Ltd, 2016) Kilic, Bulent; Karatas, Esra; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; Tchier, Fairouz; Inc, Mustafa; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.