scholarly journals Mathematical Applications about the role of Differential Equations to address the Corona Virus

2021 ◽  
Vol 15 (1) ◽  
pp. 30-33
Author(s):  
Amer NASSAR
2020 ◽  
Vol 11 (SPL1) ◽  
pp. 171-174
Author(s):  
Tarare Toshida ◽  
Chaple Jagruti

The covid-19 resulted in broad range of spread throughout the world in which India has also became a prey of it and in this situation the means of media is extensively inϑluencing the mentality of the people. Media always played a role of loop between society and sources of information. In this epidemic also media is playing a vital role in shaping the reaction in ϑirst place for both good and ill by providing important facts regarding symptoms of Corona virus, preventive measures against the virus and also how to deal with any suspect of disease to overcome covid-19. On the other hand, there are endless people who spread endless rumours overs social media and are adversely affecting life of people but we always count on media because they provide us with valuable answers to our questions, facts and everything in need. Media always remains on top of the line when it comes to stop the out spread of rumours which are surely dangerous kind of information for society. So on our side we should react fairly and maturely to handle the situation to keep it in the favour of humanity and help government not only to ϑight this pandemic but also the info emic.


Author(s):  
Nazirah Mohamad Abdullah ◽  
◽  
Shuib Rambat ◽  
Mohammad Hafiz Mohd Yatim ◽  
Abdullah Hisam Omar ◽  
...  

2020 ◽  
Vol 17 ◽  
Author(s):  
Neeraj Mittal ◽  
Varun Garg ◽  
Sanjay Kumar Bhadada ◽  
O. P. Katare

: The corona virus disease 2019 (COVID-19) has found its roots from Wuhan (China). COVID-19 is caused by a novel corona virus SARS-CoV2, previously named as 2019-nCoV. COVID-19 has spread across the globe and declared as pandemic by World health organization (WHO) on 11th March, 2020. Currently, there is no standard drug or vaccine available for the treatment, so repurposing of existing drugs is the only solution. Novel drug delivery systems (NDDS) will be boon for the repurposing of drugs. The role of various NDDS in repurposing of existing drugs for treatment of various viral diseases and their relevance in COVID-19 has discussed in this paper. It focuses on the currently ongoing research in the implementation of NDDS in COVID-19. Moreover it describes the role of NDDS in vaccine development for COVID-19. This paper also emphasizes how NDDS will help to develop the improved delivery systems (dosage forms) of existing therapeutic agents and also explore the new insights to find out the void spaces for a potential targeted delivery. So in these tough times, NDDS and nanotechnology can be a safeguard to humanity.


Author(s):  
Norman W. Marten ◽  
Jiehao Zhou
Keyword(s):  

2021 ◽  
Author(s):  
Alexander Bortsov

The autonomous optoelectronic generator (OEO) is considered in the chapter as a source of low-noise oscillations. Differential equations are considered and methods with OEO modulation with direct and external modulation are analyzed. The complexity of both approaches is related to the non-standard way of description of the nonlinear method modulation for the internal (direct) structure and the utilization of the specific Mach-Zehnder modulator for the first stage on external modulation. The purpose of the presentation is to consider the main features of OEO as a low-noise generator. This includes consideration based on the study of differential equations, the study of transients in OEO, and the calculation of phase noise. It is shown that different types of fibers with low losses at small bending radii can be used as a FOLD in OEO. The important role of the choice of a coherent laser for OEO with a small spectral line width is shown. The prospects of using structured fibers with low losses at bends of less than 10 mm in OEO are described. The results of modeling dynamic processes in OEO with direct modulation are presented.


Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1093
Author(s):  
Daniel Cao Labora

One major question in Fractional Calculus is to better understand the role of the initial values in fractional differential equations. In this sense, there is no consensus about what is the reasonable fractional abstraction of the idea of “initial value problem”. This work provides an answer to this question. The techniques that are used involve known results concerning Volterra integral equations, and the spaces of summable fractional differentiability introduced by Samko et al. In a few words, we study the natural consequences in fractional differential equations of the already existing results involving existence and uniqueness for their integral analogues, in terms of the Riemann–Liouville fractional integral. In particular, we show that a fractional differential equation of a certain order with Riemann–Liouville derivatives demands, in principle, less initial values than the ceiling of the order to have a uniquely determined solution, in contrast to a widely extended opinion. We compute explicitly the amount of necessary initial values and the orders of differentiability where these conditions need to be imposed.


Axioms ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 35
Author(s):  
Nicolas Behr ◽  
Giuseppe Dattoli ◽  
Ambra Lattanzi

The solution of pseudo initial value differential equations, either ordinary or partial (including those of fractional nature), requires the development of adequate analytical methods, complementing those well established in the ordinary differential equation setting. A combination of techniques, involving procedures of umbral and of operational nature, has been demonstrated to be a very promising tool in order to approach within a unifying context non-canonical evolution problems. This article covers the extension of this approach to the solution of pseudo-evolutionary equations. We will comment on the explicit formulation of the necessary techniques, which are based on certain time- and operator ordering tools. We will in particular demonstrate how Volterra-Neumann expansions, Feynman-Dyson series and other popular tools can be profitably extended to obtain solutions for fractional differential equations. We apply the method to several examples, in which fractional calculus and a certain umbral image calculus play a role of central importance.


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