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

Kumar, Pushpendra; Ertürk, Vedat Suat; Murillo‐Arcila, Marina; Banerjee, Ramashis; Manickam, A.

doi:10.1186/s13662-021-03499-2

Cited by 16 publications

(9 citation statements)

References 46 publications

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“…One of the most useful features of diffusion processes is the transformation property. If 𝐻(𝑡) is a diffusion, then 𝑌(𝑡) = 𝑝(𝐻(𝑡)) is also a diffusion process, provided 𝑝 is a continuous, strictly increasing function 10 . The infinitesimal mean and variance are given by…”

Section: Stochastic Differential Equations (Sde)mentioning

confidence: 99%

mathematical model for prolactin secretion in healthy adults using lognormal distribution

Gayathri

Malar²,

Manickam

et al. 2022

ijhs

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The concentration of prolactin in healthy persons is the focus of this investigation. The concentration of serum PRL in blood is determined by gender based. Traditional employment, sleeping patterns, psychological stress, and medicine are maintained for both genders. As a result of the research, the concentrations of PRL in men and women are linked. Log-Normal distributions were employed in the Mathematical Model. The medical results were analysed using the mathematical model that corresponded to them.

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Section: Stochastic Differential Equations (Sde)mentioning

confidence: 99%

mathematical model for prolactin secretion in healthy adults using lognormal distribution

Gayathri

Malar²,

Manickam

et al. 2022

ijhs

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“…Nowadays, there is a high demand of fractional‐order systems to describe the various kind of problems in different scientific fields like nanotechnology, 5 physics, 6–8 biotechnology, 9 mathematical epidemiology, 10–12 and economics 13 . More specifically, some novel fractional‐order studies to define the dynamics of Covid‐19 epidemic are given in Atangana and Araz 14–16 .…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay

Abbas

Tyagi

Kumar

et al. 2022

Math Methods in App Sciences

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In this manuscript, fractional order is introduced onto a time‐delay differential equation model of cell‐to‐cell spread of HIV‐1. The fractional derivative of Caputo type is considered. We deal with the local stability of the resulting system and derive some necessary and sufficient conditions ensuring Hopf bifurcation to occur for this system. Explicit expressions for determining stability of critical surfaces are also given. An Adams‐type predictor–corrector technique is applied to illustrate the numerical results. The main target of this study is to describe the structure of HIV‐1 by using a fractional‐order mathematical model, and the motivation of using fractional derivatives is the ability of these operators to capture memory effects in the system.

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“…Kumar et al [ 21 ] have discussed a complex fractional-order model for describing the love story of a couple. Kumar et al [ 22 ] have explored the outbreaks of Covid-19 in Argentina by using the daily reported cases. Study given in [ 23 ] is dedicated to the Covid-19 forecasting in Cameroon by using Caputo fractional derivative.…”

Section: Introductionmentioning

confidence: 99%

A study on the dynamics of alkali–silica chemical reaction by using Caputo fractional derivative

Kumar¹,

Govindaraj²,

Ertürk

et al. 2022

Pramana - J Phys

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In this paper, we propose a mathematical study to simulate the dynamics of alkali–silica reaction (ASR) by using the Caputo fractional derivative. We solve a non-linear fractional-order system containing six differential equations to understand the ASR. For proving the existence of a unique solution, we use some recent novel properties of Mittag–Leffler function along with the fixed point theory. The stability of the proposed system is also proved by using Ulam–Hyers technique. For deriving the fractional-order numerical solution, we use the well-known Adams–Bashforth–Moulton scheme along with its stability. Graphs are plotted to understand the given chemical reaction practically. The main reason to use the Caputo-type fractional model for solving the ASR system is to propose a novel mathematical formulation through which the ASR mechanism can be efficiently explored. This paper clearly shows the importance of fractional derivatives in the study of chemical reactions.

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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

Cited by 16 publications

References 46 publications

mathematical model for prolactin secretion in healthy adults using lognormal distribution

mathematical model for prolactin secretion in healthy adults using lognormal distribution

Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay

A study on the dynamics of alkali–silica chemical reaction by using Caputo fractional derivative

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