Solving Mathematical Model by using Modified Fractional Differential Transform Method with Adomian Polynomials

Authors

  • R. Teppawar Department of Mathematics, N.E.S. Science College, Nanded - 431602, Maharashtra, India
  • R. N. Ingle Department of Mathematics Bahirji Smarak Mahavidyalaya, Basmathnagar, Hingoli - 431512, Maharashtra, India
  • R. A. Muneshwar Department of Mathematics, N.E.S. Science College, Nanded - 431602, Maharashtra, India

DOI:

https://doi.org/10.3329/jsr.v16i3.72571

Abstract

In this article, the solution of nonlinear fractional differential equations (FDEs) for disease transmission is discussed in a population believed to maintain a stable size during an epidemic by using a new approach called the fractional differential transform technique (FDTM) along with Adomian polynomials. Also, this method is compared with those that the homotopy perturbation approach produces. Several charts are presented to demonstrate the consistency and simplicity of this method.

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Published

2024-09-02

How to Cite

Teppawar, R., Ingle, R. N., & Muneshwar, R. A. (2024). Solving Mathematical Model by using Modified Fractional Differential Transform Method with Adomian Polynomials. Journal of Scientific Research, 16(3), 771–781. https://doi.org/10.3329/jsr.v16i3.72571

Issue

Vol. 16 No. 3 (2024)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

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

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.