WoS İndeksli Yayınlar Koleksiyonu

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

Browse

Filters

2011 - 20195

Settings

Author: search.filters.author.Baleanu, DumitruSubject: search.filters.subject.Matematik

Search Results

Now showing 1 - 5 of 5
  • 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
    On the solutions of a fractional boundary value problem
    (Scientific Technical Research Council Turkey-Tubitak, 2018) Uğurlu, Ekin; Baleanu, Dumitru; Taş, Kenan
    This paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is used to prove the results.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Analysis of Mixed-Order Caputo Fractional System With Nonlocal Integral Boundary Condition
    (Tubitak Scientific & Technological Research Council Turkey, 2018) Khodabakhshi, Neda; Baleanu, Dumitru; Akman Yildiz, Tugba; Yıldız, Tuğba Akman
    This paper deals with a mixed-order Caputo fractional system with nonlocal integral boundary conditions. This study can be considered as an extension of previous studies, since the orders of the equations lie on different intervals. We discuss the existence and uniqueness of the solution using fixed point methods. We enrich the study with an example.
  • 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.