Numerical Solutions of Fractional Differential Equations by Using Adomian Decomposition Method

Authors

  • K Karthikeyan KPR Institute of Engineering and Technology
  • Errolla Ravi }$Department of Mathematics and Statistics\\ School of Basic and Applied Sciences\\
  • Anoop Kumar Department of Mathematics and Statistics\\ School of Basic and Applied Sciences\\ Central University of Punjab, Bathinda, Punjab-151 001, India
  • S Karthikeyan $Department of Mathematics and Statistics\\ School of Basic and Applied Sciences\\ Central University of Punjab, Bathinda, Punjab-151 001, India

Abstract

In many different domains, Fractional Differential equations(FDE) are often used. In this manuscript, we covered the Adomian decomposition method’s(ADM) applications and Fractional Differential equations. where Caputo sense is applied to the fractional operator. The ADM is a potent tool for resolving Linear as well as Non-linear Fractional Differential equations, as shown by the numerical test. The numerical findings further demonstrate this method’s effectiveness.

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Published

2024-08-29

Issue

Vol. 31 No. 3 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 K Karthikeyan, Errolla Ravi, Anoop Kumar, S Karthikeyan

Creative Commons License

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

How to Cite

Numerical Solutions of Fractional Differential Equations by Using Adomian Decomposition Method. (2024). Nonlinear Studies, 31(3), 747-758. https://nonlinearstudies.com/index.php/nonlinear/article/view/3502