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Browsing by Author "Akgul, Ali"

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    Article
    A Novel Technique for Fractional Bagley-Torvik Equation
    (Natl Acad Sciences india, 2019) Sakar, Mehmet Giyas; Saldir, Onur; Akgul, Ali
    In this research, numerical solution of boundary value problem of fractional Bagley-Torvik equation is given in the reproducing kernel space. The central point of this approach is to set up a new reproducing kernel Hilbert space (RKHS) that satisfies the boundary conditions. Predicated on the properties of the RKHS, a new approach is applied to obtain precise numerical approximation. The results shows that a new approach is very effective and convenient for large interval.
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    Article
    On Solutions of Fractional Riccati Differential Equations
    (Springer international Publishing Ag, 2017) Sakar, Mehmet Giyas; Akgul, Ali; Baleanu, Dumitru
    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.