Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

Browse

Filters

2015 - 20173

Settings

Author: search.filters.author.Akgul, AliPublisher: search.filters.publisher.Springer international Publishing Ag

Search Results

Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 25
    Citation - Scopus: 29
    A New Approach for One-Dimensional Sine-Gordon Equation
    (Springer international Publishing Ag, 2016) Inc, Mustafa; Kilicman, Adem; Baleanu, Dumitru; Akgul, Ali
    In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired results are compared with the exact solutions and results obtained by different methods. These results indicate that the reproducing kernel method is very effective.
  • Article
    Citation - WoS: 45
    Citation - Scopus: 71
    On Solutions of Fractional Riccati Differential Equations
    (Springer international Publishing Ag, 2017) Akgul, Ali; Baleanu, Dumitru; Sakar, Mehmet Giyas
    We apply an iterative reproducing kernel Hilbert space method to get the solutions of fractional Riccati differential equations. The analysis implemented in this work forms a crucial step in the process of development of fractional calculus. The fractional derivative is described in the Caputo sense. Outcomes are demonstrated graphically and in tabulated forms to see the power of the method. Numerical experiments are illustrated to prove the ability of the method. Numerical results are compared with some existing methods.
  • 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
    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.