International Journal of Nonlinear Analysis and Applications

Efficient analytical method for the solution of some fractional -order nonlinear differential equations

Document Type : Research Paper

Authors

Department of Mathematics, College of Education For Pure Sciences, Ibn Al-Haitham, University of Baghdad, Iraq

Abstract

A novel technique called the Variational Adomian decomposition method (VIADM) is used to approximate an analytical solution for several types of non-linear fractional differential equations. Some examples are presented to back up our findings. The solution procedure and results indicated that the proposed method is very effective, reliable, and straightforward. The results show how effective and precise the present technology is at resolving various nonlinear problems in applied science. The MATLAB software carried out all the computations and graphics. Fractional derivatives are mentioned in Caputo Sense. Moreover, a graphical representation was made for the solution of some examples. For integer and fractional order problems, solution graphs are shown.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 401-408
  • Receive Date: 04 January 2022
  • Revise Date: 18 March 2022
  • Accept Date: 07 April 2022