Keywords:-

Keywords: Caputo fractional model, COVID-19, Numerical simulation, Stability analysis, Analytical solution, fractional differential transform method

Article Content:-

Abstract

In this paper, we will discuss an analytical solution and numerical simulation of fractional order mathematical model on COVID-19 under Caputo sense with the help of fractional differential transform method for different values of q, where q ∈ (0,1]. The underlying mathematical model on COVID-19 is consist of two compartments, like, healthy individual and infected individual. We show the reliability and simplicity of the method by comparing our solution of given model with the solution obtained by Laplace Adomian decomposition method via graphically and numerically. Further, we analyse the stability of model using Lyapunov direct method under Caputo sense. We conclude that use of fractional epidemic model provides better understanding and biologically more insights about the disease dynamics.

Mathematics Subject Classification: 2010 MSC: 26A33, 37M05

References:-

References

Musibau A. Omoloye, Sunday O. Adewale, Aliyu M. Umar, Asimiyu O. Oladapo; analysis of Coronavirus disease model by Differential Transformation Method (DTM), (2021).

Abdullah, Saeed Ahmad, Saud Owyed, Abdel-Haleem Abdel-Aty, Emad E. Mahmoud, Kamal Shah, Hussam Alrabaiah; Mathematical analysis of COVID-19 via new mathematical model, (2021).

V. Padmavathi, A. Prakash, K. Alagesan, N. Magesh; Analysis and numerical simulation of novel coronavirus (COVID-19) model with MittagLeffler Kernel, (2020).

Mohammed A. Aba Oud, Aatif Ali, Hussam Alrabaiah, Saif Ullah, Muhammad Altaf Khan, and Saeed Islam; A fractional order mathematical model for COVID-19 dynamics with quarantine, isolation, and environmental viral load, (2021).

Nguyen Huy Tuan, Hakimeh Mohammadi, Shahram Rezapour; A mathematical model for COVID-19 transmission by using the Caputo fractional derivative, (2020).

J.K. Zhou, Differential Transformation and its Applications for Electrical Circuits, (1986).

Aytac Arikoglu, Ibrahim Ozkol; Solution of fractional differential equations by using differential transform method, (2007).

M. Caputo; Linear models of dissipation whose Q is almost frequency independent II, (1967).

Kamal Shah, Thabet Abdeljawad, Ibrahim Mahariq, and Fahd Jarad; Qualitative Analysis of a Mathematical Model in the Time of COVID-19, (2020).

Shantanu Das, Functional Fractional Calculus, Springer, (2011).

I. Podlubny, Fractional Differential equations, Academic Press USA, (1999).

S. Liu, W. Jiang, X. Li, X.-F. Zhou; Lyapunov stability analysis of fractional nonlinear systems, Appl. Math. Lett. (2015).

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Nagargoje, A. D., & Teppawar, R. S. (2025). Analytical Solution of Fractional Order Mathematical Model in the Time of COVID-19 by Fractional Differential Transform Method. International Journal Of Mathematics And Computer Research, 13(1), 4711-4717. https://doi.org/10.47191/ijmcr/v13i1.02