Numerical Solutions of Fractional Differential Equations by Using Adomian Decomposition Method

Authors

  • K Karthikeyan KPR Institute of Engineering and Technology
  • Errolla Ravi Central University of Punjab, Bathinda,
  • Anoop Kumar Central University of Punjab, Bathinda,
  • S Karthikeyan KPR Institute of Engineering and Technology,

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 — Updated on 2024-10-20

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Issue

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

Section

Articles

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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 (Original work published 2024)