ArticleChaos, solitons, and fractals2020
Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives.
Article in Chaos, solitons, and fractals, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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16 citing papers in PubMed, 117 citations in OpenAlex.
- Stability and numerical analysis via non-standard finite difference scheme of a nonlinear classical and fractional order model.Results in physics · 2023Article
- Some novel mathematical analysis on the fractional-order 2019-nCoV dynamical model.Mathematical methods in the applied sciences · 2022Article
- A case study of 2019-nCoV in Russia using integer and fractional order derivatives.Mathematical methods in the applied sciences · 2022Article
- Article
- A fractional-order mathematical model for analyzing the pandemic trend of COVID-19.Mathematical methods in the applied sciences · 2022Article
- Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model.Advances in continuous and discrete models · 2022Article
- Fractional optimal control of compartmental SIR model of COVID-19: Showing the impact of effective vaccination.IFAC-PapersOnLine · 2022Article
- A delayed plant disease model with Caputo fractional derivatives.Advances in continuous and discrete models · 2022Article
- Investigation of optical solitons to the nonlinear complex Kundu-Eckhaus and Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations in conformable.Optical and quantum electronics · 2022Article
- A fractional-order model of coronavirus disease 2019 (COVID-19) with governmental action and individual reaction.Mathematical methods in the applied sciences · 2021Article
- A new fractional mathematical modelling of COVID-19 with the availability of vaccine.Results in physics · 2021Article
- A case study of Covid-19 epidemic in India via new generalised Caputo type fractional derivatives.Mathematical methods in the applied sciences · 2021Article
- Fractional order mathematical modeling of novel corona virus (COVID-19).Mathematical methods in the applied sciences · 2021Article
- A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives.Advances in difference equations · 2021Article
- Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator.Results in physics · 2020Article
- The analysis of a time delay fractional COVID-19 model via Caputo type fractional derivative.Mathematical methods in the applied sciences · 2020Article
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2 authors at 2 institutions in 2 countries.
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No grant is acknowledged in the PubMed record.
Abstract
In this manuscript, we solve a model of the novel coronavirus (COVID-19) epidemic by using Corrector-predictor scheme. For the considered system exemplifying the model of COVID-19, the solution is established within the frame of the new generalized Caputo type fractional derivative. The existence and uniqueness analysis of the given initial value problem are established by the help of some important fixed point theorems like Schauder's second and Weissinger's theorems. Arzela-Ascoli theorem and property of equicontinuity are also used to prove the existence of unique solution. A new analysis with the considered epidemic COVID-19 model is effectuated. Obtained results are described using figures which show the behaviour of the classes of projected model. The results show that the used scheme is highly emphatic and easy to implementation for the system of non-linear equations. The present study can confirm the applicability of the new generalized Caputo type fractional operator to mathematical epidemiology or real-world problems. The stability analysis of the projected scheme is given by the help of some important lemma or results.
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