Kinetic Model for Drying in Frame of Generalized Fractional Derivatives

Özarslan, Ramazan; Baş, Erdal

doi:10.3390/fractalfract4020017

Cited by 10 publications

(8 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The three authors do not point to future research trends, but through this analysis, it is recommended that it be interesting to test different speed laws for drying grains and see which ones best represent the process. Other than Ozarslan and Bas (2020), the other authors do not comment on whether there is Physical meaning in their models, despite the model by Souza Matias et al (2019) presenting physical meaning according to the findings of Simpson et al (2017).…”

Section: Resultsmentioning

confidence: 94%

“…Nicolin, da Silva, et al (2018), and Souza Matias et al (2019) carried out their studies on soy drying, in addition to them Ozarslan and Bas (2020), which dimension the parameters of the model by Souza Matias et al (2019) in order to assign physical meaning to the model. Nicolin, da Silva, et al (2018), and Souza Matias et al (2019), concluded that their models, coming from the fractional mass balance, adjusted well to the data, representing the kinetic data only in the fractional‐order.…”

Section: Resultsmentioning

confidence: 99%

“…Nicolin, da Silva, et al (2018), and Souza Matias et al (2019), concluded that their models, coming from the fractional mass balance, adjusted well to the data, representing the kinetic data only in the fractional‐order. Moreover, Ozarslan and Bas (2020) concluded that for the model based on Souza Matias et al (2019) speed law to have physical significance, it is necessary to raise the drying speed constant to the integration value order. The three authors do not point to future research trends, but through this analysis, it is recommended that it be interesting to test different speed laws for drying grains and see which ones best represent the process.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Fractional calculus to control transport phenomena in food engineering: A systematic review of barriers and data agenda

Matias

Lermen

Bissaro

et al. 2022

J Food Process Engineering

View full text Add to dashboard Cite

This study aims to conduct a systematic review of the literature through bibliometrics and content analysis to raise barriers, data agenda, and a framework to support academics and practitioners of fractional calculus in transport phenomena from the perspectives of food engineering. The structure of the methodological procedure is a selection of studies in the research area, statistical analysis of the data, and content analysis. The Bibliometrix package of software R was used in the bibliometric analysis, being fundamental for the organization of the discussions. Finally, the food engineering area researchers can use the questions, barriers, and research agenda in fractional calculus to solve problems in the studied clusters' processes. Based on the previous knowledge of the researcher, a path was provided to follow the data agenda and the proposed framework, identify insights, and solve a specific problem. As the main contribution, this study presents several applications and the most significant barriers and presents bibliometrics quantifying the theoretical and empirical studies in the area. Nonetheless, this study places the research field of fractional calculus for Food Engineering, Science, and Technology, presenting several applications and the most significant barriers quantifying the theoretical and empirical studies in the area. As a practical contribution, this study presents a research agenda and a framework that can contribute to practitioners applying fractional calculus in process control.

show abstract

Section: Resultsmentioning

confidence: 94%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Fractional calculus to control transport phenomena in food engineering: A systematic review of barriers and data agenda

Matias

Lermen

Bissaro

et al. 2022

J Food Process Engineering

View full text Add to dashboard Cite

show abstract

“…Deals fractional form of projectile motion (wind-influenced) is discussed in detail. Inverse singular spectral problems are discussed in [29] by Ozarslan et al [30] discussed the Lewis model for the soybean drying process using fractional differential operators. The results are compared with Caputo fractional derivative.…”

Section: Introductionmentioning

confidence: 99%

Computational Modeling of Reaction-Diffusion COVID-19 Model Having Isolated Compartment

Arif¹,

Abodayeh²,

Ejaz³

2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

Cases of COVID-19 and its variant omicron are raised all across the world. The most lethal form and effect of COVID-19 are the omicron version, which has been reported in tens of thousands of cases daily in numerous nations. Following WHO (World health organization) records on 30 December 2021, the cases of COVID-19 were found to be maximum for which boarding individuals were found 1,524,266, active, recovered, and discharge were found to be 82,402 and 34,258,778, respectively. While there were 160,989 active cases, 33,614,434 cured cases, 456,386 total deaths, and 605,885,769 total samples tested. So far, 1,438,322,742 individuals have been vaccinated. The coronavirus or COVID-19 is inciting panic for several reasons. It is a new virus that has affected the whole world. Scientists have introduced certain ways to prevent the virus. One can lower the danger of infection by reducing the contact rate with other persons. Avoiding crowded places and social events with many people reduces the chance of one being exposed to the virus. The deadly COVID-19 spreads speedily. It is thought that the upcoming waves of this pandemic will be even more dreadful. Mathematicians have presented several mathematical models to study the pandemic and predict future dangers. The need of the hour is to restrict the mobility to control the infection from spreading. Moreover, separating affected individuals from healthy people is essential to control the infection. We consider the COVID-19 model in which the population is divided into five compartments. The present model presents the population's diffusion effects on all susceptible, exposed, infected, isolated, and recovered compartments. The reproductive number, which has a key role in the infectious models, is discussed. The equilibrium points and their stability is presented. For numerical simulations, finite difference (FD) schemes like nonstandard finite difference (NSFD), forward in time central in space (FTCS), and Crank Nicolson (CN) schemes are implemented. Some core characteristics of schemes like stability and consistency are calculated.

show abstract

“…In literature different form of fractional derivative are exist in them the Caputo derivative [27] is most famous and largely used by researchers. Recently, a generalized version of fractional integral and derivatives are presented in [28,29], this generalized Caputo-type derivative has been used in investigation of many physical models [30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

A computational study of transmission dynamics for dengue fever with a fractional approach

Kumar

Chauhan

Singh

et al. 2021

Math. Model. Nat. Phenom.

View full text Add to dashboard Cite

Fractional derivatives are considered as influential weapon in terms of analysis of infectious disease. The research study in fractional calculus with formulation of new definitions and mathematical tools have a great impact in sector of community health by controlling some fatal diseases. In this article, a generalized version of Caputo derivative which represented as (${}^\mathrm{C}\mathrm{D}_0^{\beta,\sigma}$), is used in alternate modelling of dengue fever disease model. We discuss the existence and uniqueness of solution of model by using fixed point theory. After that, an adaptive predictor-corrector numerical scheme is used to obtain the imminent solution of the proposed model.

show abstract

Kinetic Model for Drying in Frame of Generalized Fractional Derivatives

Cited by 10 publications

References 37 publications

Fractional calculus to control transport phenomena in food engineering: A systematic review of barriers and data agenda

Fractional calculus to control transport phenomena in food engineering: A systematic review of barriers and data agenda

Computational Modeling of Reaction-Diffusion COVID-19 Model Having Isolated Compartment

A computational study of transmission dynamics for dengue fever with a fractional approach

Contact Info

Product

Resources

About