Analytical solutions and numerical simulation of COVID-19 fractional order mathematical model by Caputo and conformable fractional differential transform method
*A. D. NagargojeCorresponding authornagargojearun1993@gmail.comDepartment of MathematicsN.E.S. Science CollegeNanded, Maharashtra, 431602, IndiaView full profile → , V. C. Borkarborkarvc@gmail.comDepartment of Mathematics and StatisticsYeshwant MahavidyalayaNanded, Maharashtra, 431605, IndiaView full profile → , R.A. MUNESHWARmuneshwarrajesh10@gmail.comDepartment of MathematicsN.E.S. Science CollegeNanded, Maharashtra, 431602, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Dec 2021
- Accepted:
- 02 Jun 2022
- Published Online:
- 28 Aug 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1219
- Pages:
- 653–673
Abstract
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References
[1] Musibau A. Omoloye, Sunday O. Adewale, Aliyu M. Umar, Asimiyu O. Oladapo; analysis of Coronavirus disease model by Differential Transformation Method (DTM), (2021).
[2] Amal Shah, Thabet Abdeljawad, Ibrahim Mahariq and Fahd Jarad; Qualitative Analysis of a Mathematical Model in the Time of COVID-19, (2020).
[3] V. Padmavathi, A. Prakash, K. Alagesan, N. Magesh; Analysis and numerical simulation of novel coronavirus (COVID-19) model with Mittag-Leffler Kernel, (2020).
[4] 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).
[5] Nguyen Huy Tuan, Hakimeh Mohammadi, Shahram Rezapour; A mathematical model for COVID-19 transmission by using the Caputo fractional derivative, (2020).
[6] J.K. Zhou, Differential Transformation and its Applications for Electrical Circuits, (1986).
[7] Aytac Arikoglu, Ibrahim Ozkol; Solution of fractional differential equations by using differential transform method, (2007).
[8] Mostafa Eslami, a and Hadi Rezazadeh; Multi-step conformable fractional differential transform method for solving and stability of the conformable fractional differential systems, (2020).
[9] Emrah Ünal, Ahmet GÖkdoğan; Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method, (2017).
[10] Shantanu Das, Functional Fractional Calculus, Springer, (2011).
[11] I. Podlubny, Fractional Differential equations, Academic Press USA, (1999).
[12] 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).
[13] Vijander Singh, Ramesh Chandra Poonia , Sandeep Kumar, Pranav Dass,Pankaj Agarwal, Vaibhav Bhatnagar and Linesh Raja; Prediction of COVID-19 corona virus pandemic based on time series data using support vector machine, Journal of Discrete Mathematical Sciences and Cryptography, (2020).
[14] Vaibhav Bhatnagar, Ramesh Chandra Poonia, Pankaj Nagar, Sandeep Kumar, Vijander Singh, Linesh Raja and Pranav Dass; Descriptive analysis of COVID-19 patients in the context of India, Journal of Interdisciplinary Mathematics, (2021).
[15] HatIra GÜnerhan, Muhammed Yiğider, Jalil Manafian and Onur Alp Ilhan; Numerical solution of fractional order logistic equations via conformable fractional differential transform method, Journal of Interdisciplinary Mathematics, (2021).
