Numerical Simulation and Stability Analysis for the Fractional-Order Dynamics of COVID-19
Harendra Singh,Hari M. Srivastava,Hari M. Srivastava,Hari M. Srivastava,Zakia Hammouch,Kottakkaran Sooppy Nisar +5 more
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TLDR
In this article, an efficient computational method based on discretization of the domain and memory principle is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed.Abstract:
The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost.read more
Citations
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Some Higher-Degree Lacunary Fractional Splines in the Approximation of Fractional Differential Equations
TL;DR: In this article, Liouville-Caputo fractional differential equations (FDEs) are used to derive the existence and uniqueness of the method, and the error bounds for approximating the unique positive solution.
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Existence and uniqueness of a class of uncertain Liouville-Caputo fractional difference equations
Hari M. Srivastava,Hari M. Srivastava,Hari M. Srivastava,Pshtiwan Othman Mohammed,Cheon Seoung Ryoo,Yasser Salah Hamed +5 more
TL;DR: In this article, a class of uncertain fractional difference equation of the Liouville-Caputo type (UFLCDE) was considered and an equivalent uncertainty fractional sum equation was found by using the successive Picard iteration method for finding a solution.
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A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel
Zubair Ahmad,Sherif A. El-Kafrawy,Thamir A. Alandijany,Francesco Giannino,Ahmed A. Mirza,Mai El-Daly,Arwa Ali A. Faizo,Leena H. Bajrai,Mohammad Amjad Kamal,Esam I. Azhar +9 more
TL;DR: In this paper , a compartmental mathematical model has been utilized to gain a better insight about the future dynamics of COVID-19, where the total human population is divided into eight various compartments including susceptible, exposed, pre-asymptomatic, asymptomatic and symptomatic, quarantined, hospitalized and removed individuals.
Journal ArticleDOI
Fractal–fractional dynamical system of Typhoid disease including protection from infection
Qu Haidong,Mati ur Rahman,Muhammad Arfan,Mehdi Salimi,Soheil Salahshour,Ali Ahmadian,Ali Ahmadian +6 more
TL;DR: In this paper, a fractal-fractional mathematical model of typhoid was analyzed to study the dynamics of fever disease incorporating protection against infection, and the existence theory of the considered model was determined and the uniqueness of the solution by the approach of fixed point theorem.
Journal ArticleDOI
A fractional order Covid-19 epidemic model with Mittag-Leffler kernel.
Hasib Khan,Muhammad Ibrahim,Abdel-Haleem Abdel-Aty,M. Motawi Khashan,Farhat Ali Khan,Aziz Khan +5 more
TL;DR: In this article, a fractional-order COVID-19 model for analytical and computational aspects is proposed and numerical results for the suggested model are similar to the integer order which gives us the applicability of the numerical scheme and effectiveness of the fractional order derivative.
References
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