scholarly journals Correction: New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points

2021 ◽  
Vol 19 (2) ◽  
pp. 1588-1590
Author(s):  
Sumati Kumari Panda ◽  
◽  
Abdon Atangana ◽  
Juan J. Nieto ◽  
◽  
...  
Keyword(s):  
Fixed Points ◽  
Fractional Derivatives ◽  
Novel Coronavirus

scholarly journals New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points

2021 ◽  
Vol 18 (6) ◽  
pp. 8683-8726
Author(s):  
Sumati Kumari Panda ◽  
◽  
Abdon Atangana ◽  
Juan J. Nieto ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Numerical Scheme ◽  
Fractional Derivatives ◽  
Differential Operators ◽  
The Novel ◽  
Different Types ◽  
Novel Coronavirus

<abstract><p>Extended orthogonal spaces are introduced and proved pertinent fixed point results. Thereafter, we present an analysis of the existence and unique solutions of the novel coronavirus 2019-nCoV/SARS-CoV-2 model via fractional derivatives. To strengthen our paper, we apply an efficient numerical scheme to solve the coronavirus 2019-nCoV/SARS-CoV-2 model with different types of differential operators.</p></abstract>

Positive solutions and stability of fuzzy Atangana–Baleanu variable fractional differential equation model for a novel coronavirus (COVID-19)

2021 ◽  
pp. 2150059
Author(s):  
Pratibha Verma ◽  
Manoj Kumar
Keyword(s):  
Positive Solution ◽  
Fractional Derivatives ◽  
Fixed Point Theory ◽  
Fuzzy Variable ◽  
Point Theory ◽  
Equation Model ◽  
Theory Approach ◽  
Fractional Differential ◽  
Novel Coronavirus ◽  
Rassias Stability

This work provides a new fuzzy variable fractional COVID-19 model and uses a variable fractional operator, namely, the fuzzy variable Atangana–Baleanu fractional derivatives in the Caputo sense. Next, we explore the proposed fuzzy variable fractional COVID-19 model using the fixed point theory approach and determine the solution’s existence and uniqueness conditions. We choose an appropriate mapping and with the help of the upper/lower solutions method. We prove the existence of a positive solution for the proposed fuzzy variable fractional COVID-19 model and also obtain the result on the existence of a unique positive solution. Moreover, we discuss the generalized Hyers–Ulam stability and generalized Hyers–Ulam–Rassias stability. Further, we investigate the results on maximum and minimum solutions for the fuzzy variable fractional COVID-19 model.

Ergebnisse der COVID-19-Umfrage der Deutschen Gesellschaft für Rehabilitationswissenschaften e.V. (DGRW)

2020 ◽  
Vol 59 (05) ◽  
pp. 315-317
Author(s):  
Thorsten Meyer ◽  
Elain Posthumus ◽  
Keyword(s):  
Public Health ◽  
Global Literature ◽  
Novel Coronavirus

Hintergrund und ZielCOVID-19 stellt eine substanzielle Bedrohung der Gesundheit und in der Folge auch der Lebensbedingungen der Menschen weltweit dar. Die Erkrankung entsteht infolge einer Infektion mit dem neuartigen Coronavirus SARS-CoV-2. Erkenntnisse über molekulare Grundlagen, Pathophysiologie, klinische Charakteristika, Epidemiologie, aber auch Ressourcenbedarf und Outcomes (z. B. Karagiannidis et al. 2020; zur Übersicht s. Website der WHO: https://search.bvsalud.org/global-literature-on-novel-coronavirus-2019-ncov/) wachsen in beispiellos kurzem Zeitraum weltweit an, auch im Feld der Rehabilitation (vgl. Negrini et al. 2020). Die Erkenntnisse münden in Leitlinien, Policy Briefs oder konkreten Handlungsempfehlungen (vgl. Publikationen des Kompetenznetz Public Health COVID-19, www.public-health-covid19.de).

On Fractional Derivatives and Application

2013 ◽  
Vol 1 (2) ◽  
pp. 51-56
Author(s):  
Mark Borres ◽  
◽  
Efren Barabat ◽  
Jocelyn Panduyos ◽  
◽  
...  
Keyword(s):  
Fractional Derivatives

Experience in Applying Hyperbaric Oxygen Therapy Using Portable Pressure Chambers for the Treatment of Patients with the Novel Coronavirus Infection COVID-19

Biomeditsina ◽  
2020 ◽  
pp. 39-46
Author(s):  
A. S. Samoilov ◽  
Yu. D. Udalov ◽  
M. V. Sheyanov ◽  
A. V. Gholinsky ◽  
A. B. Litvinenko
Keyword(s):  
Oxygen Saturation ◽  
Hyperbaric Oxygen ◽  
Hyperbaric Oxygen Therapy ◽  
Oxygen Therapy ◽  
Capillary Blood ◽  
Blood Hemoglobin ◽  
Patient Groups ◽  
Radiological Changes ◽  
Coronavirus Infection ◽  
Novel Coronavirus

This communication presents the experience of using mobile pressure chambers in patients with the confi rmed novel coronavirus infection in hospital settings. The obtained preliminary results indicate positive antihypoxic effects of hyperbaric oxygen therapy (HBO) applied in the form of increased saturation. After a session of HBO, patients demonstrated an increase in the oxygen saturation of capillary blood hemoglobin at the average level of 3.71 points. Differences between SatO2 levels prior to and following HBO treatment were signifi cant in the CT2, CT3 and CT4 groups (p0.05). As expected, the effi cacy of HBO in terms of the oxygen saturation of capillary blood hemoglobin was the greatest in the patient groups showing pronounced clinical and radiological changes in the lungs.

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