Simulation of Fractional Order 2D-Mathematical Model Using α-Fractional Differential Transform Method

Authors

  • S. N. Thorat Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431004, Maharashtra, India
  • K. P. Ghadle Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431004, Maharashtra, India https://orcid.org/0000-0003-3205-5498
  • R. A. Muneshwar Department of Mathematics, N. E. S. Science College, Nanded-431602, Maharashtra, India

DOI:

https://doi.org/10.37256/cm.5120242464

Keywords:

fractional differential transform method, fractional differential equation, conformable fractional differential transform, α-fractional derivative

Abstract

In this paper, we will introduce a well-known transformation technique, the modified α-fractional differential transform, to the differential equation of fractional order. We derive some new results with proof using new techniques that never existed before. By using this new technique, we are attempting to solve the nonlinear fractional-order mathematical epidemic model. Furthermore, the fractional epidemic model’s solution obtained by using this new technique is correlated with the solution of the same model calculated for a different fractional order by the modified α-fractional differential transform method. Moreover, using the Python software, we can numerically and graphically represent the solution of fractional differential equations.

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Published

2024-02-20

How to Cite

1.
Thorat SN, Ghadle KP, Muneshwar RA. Simulation of Fractional Order 2D-Mathematical Model Using α-Fractional Differential Transform Method. Contemp. Math. [Internet]. 2024 Feb. 20 [cited 2024 Oct. 14];5(1):685-97. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2464