Numerical solutions of nonlinear fractional differential equations by variational iteration method

Volume 14, Issue 2, pp 54--62 http://dx.doi.org/10.22436/jnsa.014.02.01

Publication Date: July 03, 2020 Submission Date: March 04, 2020 Revision Date: March 29, 2020 Accteptance Date: April 08, 2020

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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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Keywords

• Variational iteration method
• Caputo fractional derivative
• nonlinear of fractional differential equations

MSC

•  6SD30
•  65R20
•  45F05
•  26A33

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