On solutions of fractional Riccati differential equations
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Date
2017
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Springer International Publishing AG
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Abstract
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.
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Iterative Reproducing Kernel Hilbert Space Method, Inner Product, Fractional Riccati Differential Equation, Analytic Approximation
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Sakar, Mehmet Giyas; Akgul, Ali; Baleanu, Dumitru (2017). On solutions of fractional Riccati differential equations, Advances in Difference Equations.
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Advances in Difference Equations