WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Author: search.filters.author.Baleanu, DumitruPublisher: search.filters.publisher.Hacettepe Univ, Fac Sci

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 17
    Citation - Scopus: 16
    A Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kernel
    (Hacettepe Univ, Fac Sci, 2018) Abdelkawy, Mohamed A.; Baleanu, Dumitru; Amin, Ahmed Z. M.; Bhrawy, Ali H.; Amink, Ahmed Z. M.; Abdelkawyy, Mohamed A.
    This paper adapts a new numerical technique for solving twodimensional fractional integral equations with weakly singular. Using the spectral collocation method, the fractional operators of Legendre and Chebyshev polynomials, and Gauss-quadrature formula, we achieve a reduction of given problems into those of a system of algebraic equations. We apply the reported numerical method to solve several numerical examples in order to test the accuracy and validity. Thus, the novel algorithm is more responsible for solving two-dimensional fractional integral equations with weakly singular.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Representation for the Reproducing Kernel Hilbert Space Method for a Nonlinear System
    (Hacettepe Univ, Fac Sci, 2019) Akgul, Ali; Khan, Yasir; Baleanu, Dumitru; Akgul, Esra Karatas; Karatas Akgül, Esra
    We apply the reproducing kernel Hilbert space method to a nonlinear system in this work. We utilize this technique to overcome the nonlinearity of the problem. We obtain accurate results. We demonstrate our results by tables and figures. We prove the efficiency of the method.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 9
    On the Existence Interval for the Initial Value Problem of a Fractional Differential Equation
    (Hacettepe Univ, Fac Sci, 2011) Mustafa, Octavian G.; Baleanu, Dumitru
    We compute via a comparison function technique, a new bound for the existence interval of the initial value problem for a fractional differential equation given by means of Caputo derivatives. We improve in this way the estimate of the existence interval obtained very recently in the literature.