TY - JOUR
T1 - Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
AU - Kashkari, Bothayna S.H.
AU - Syam, Muhammed I.
N1 - Publisher Copyright:
© 2018 Bothayna S. H. Kashkari and Muhammed I. Syam.
PY - 2018
Y1 - 2018
N2 - This article is devoted to both theoretical and numerical studies of nonlinear fractional Fredholm integrodifferential equations. In this paper, we implement the reproducing kernel method (RKM) to approximate the solution of nonlinear fractional Fredholm integrodifferential equations. Numerical results demonstrate the accuracy of the present algorithm. In addition, we prove the existence of the solution of the nonlinear fractional Fredholm integrodifferential equation. Uniformly convergence of the approximate solution produced by the RKM to the exact solution is proven.
AB - This article is devoted to both theoretical and numerical studies of nonlinear fractional Fredholm integrodifferential equations. In this paper, we implement the reproducing kernel method (RKM) to approximate the solution of nonlinear fractional Fredholm integrodifferential equations. Numerical results demonstrate the accuracy of the present algorithm. In addition, we prove the existence of the solution of the nonlinear fractional Fredholm integrodifferential equation. Uniformly convergence of the approximate solution produced by the RKM to the exact solution is proven.
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U2 - 10.1155/2018/2304858
DO - 10.1155/2018/2304858
M3 - Article
AN - SCOPUS:85058927505
SN - 1076-2787
VL - 2018
JO - Complexity
JF - Complexity
M1 - 2304858
ER -