Numerical solutions of nonlinear fractional differential equations by variational iteration method
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Authors
A. S. Nagdy
- Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.
KH. M. Hashem
- Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.
Abstract
In this paper, numerical techniques are used for solving boundary value problems of nonlinear fractional differential equations. Variational iteration method is applied to approximate solutions for this equation with boundary conditions. Numerical examples are presented to illustrate the efficiency and accuracy of the proposed method, and we compare between the numerical solutions and the exact solution of these examples.
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ISRP Style
A. S. Nagdy, KH. M. Hashem, Numerical solutions of nonlinear fractional differential equations by variational iteration method, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 2, 54--62
AMA Style
Nagdy A. S., Hashem KH. M., Numerical solutions of nonlinear fractional differential equations by variational iteration method. J. Nonlinear Sci. Appl. (2021); 14(2):54--62
Chicago/Turabian Style
Nagdy, A. S., Hashem, KH. M.. "Numerical solutions of nonlinear fractional differential equations by variational iteration method." Journal of Nonlinear Sciences and Applications, 14, no. 2 (2021): 54--62
Keywords
- Variational iteration method
- Caputo fractional derivative
- nonlinear of fractional differential equations
MSC
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