Analytical and Approximate Solutions for Fractional Systems of Nonlinear Differential Equations

Authors

  • H. R. Abdl-Rahim Industrial Technical Institute, Medium Valley Technological College, Ministry of Higher Education, Sohag, Egypt
  • Hijaz Ahmad Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39,00186 Roma, Italy
  • Taher A. Nofal Department of Mathematic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
  • G. M. Ismail Department of Mathematics, Faculty of Science, Islamic University of Madinah, 42351, Madinah, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4864

Keywords:

Natural transform, Adomian decomposition method, Mathematical epidemic model, Analytical solution.

Abstract

This paper studies the epidemic model of rational order via an efficient genius modern analytical approximate technique named Natural Transform Adomian Decomposition Method (NTADM). It is based on Caputo fractional derivative. To demonstrate the effectiveness of the present method, the results are displayed in graphs. Accordingly, the NTADM can be very easily applied to other nonlinear models.

Downloads

Published

2023-10-30

Issue

Vol. 16 No. 4: (October 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Analytical and Approximate Solutions for Fractional Systems of Nonlinear Differential Equations. (2023). European Journal of Pure and Applied Mathematics, 16(4), 2632-2642. https://doi.org/10.29020/nybg.ejpam.v16i4.4864