Numerical and mathematical analysis of induction motor by means of AB–fractal–fractional differentiation actuated by drilling system

Abro, Kashif Ali; Atangana, Abdon

doi:10.1002/num.22618

Cited by 24 publications

(6 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our future studies would include the use of Markov Chain Monte Carlo sampling technique for data fitting process to obtain the unknown biological parameters of the model with associated 95% credible intervals. Moreover, non-local time derivatives recently introduced in ( Caputo, 1996 ; Atangana & Baleanu, 2016 ; Caputo & Fabrizio, 2015 ; Atangana, 2017 ) and successfully used in various real life situations (see, for instance ( Atangana & Qureshi, 2019 ; Abro & Atangana, 2020 ; Ahmed et al, 2020 ; Atangana & Atangana, 2020 ; Baleanu et al, 2020 ; Naik et al, 2020 ; Ozair et al, 2020 ; Zarin et al, 2020 )), and will be taken under consideration to comprehend the dynamics of underlying epidemic in more detail.…”

Section: Discussionmentioning

confidence: 99%

Mathematical modeling of COVID-19 epidemic with effect of awareness programs

Musa

Qureshi

Zhao

et al. 2021

Infectious Disease Modelling

104

View full text Add to dashboard Cite

Severe acute respiratory syndrome coronavirus 2 (SARS-COV-2) is a novel virus that emerged in China in late 2019 and caused a pandemic of coronavirus disease 2019 (COVID-19). The epidemic has largely been controlled in China since March 2020, but continues to inflict severe public health and socioeconomic burden in other parts of the world. One of the major reasons for China's success for the fight against the epidemic is the effectiveness of its health care system and enlightenment (awareness) programs which play a vital role in the control of the COVID-19 pandemic. Nigeria is currently witnessing a rapid increase of the epidemic likely due to its unsatisfactory health care system and inadequate awareness programs. In this paper, we propose a mathematical model to study the transmission dynamics of COVID-19 in Nigeria. Our model incorporates awareness programs and different hospitalization strategies for mild and severe cases, to assess the effect of public awareness on the dynamics of COVID-19 infection. We fit the model to the cumulative number of confirmed COVID-19 cases in Nigeria from 29 March to 12 June 2020. We find that the epidemic could increase if awareness programs are not properly adopted. We presumed that the effect of awareness programs could be estimated. Further, our results suggest that the awareness programs and timely hospitalization of active cases are essential tools for effective control and mitigation of COVID-19 pandemic in Nigeria and beyond. Finally, we perform sensitive analysis to point out the key parameters that should be considered to effectively control the epidemic.

show abstract

Section: Discussionmentioning

confidence: 99%

Mathematical modeling of COVID-19 epidemic with effect of awareness programs

Musa

Qureshi

Zhao

et al. 2021

Infectious Disease Modelling

104

View full text Add to dashboard Cite

show abstract

“…Finite Fourier sine transform, Laplace, and fractional techniques have been utilized to the governing equations for exhibiting typical and rheological properties of the problem. Although the studies on heat and transfer analysis can be continue yet the relevant studies can be observed therein in categorical format as heat transfer via analytical approaches [16][17][18][19][20][21][22][23], heat transfer via numerical approaches [24][25][26][27][28][29], heat transfer via fractional calculus approaches [30][31][32][33], and heat transfer via multi-dimensional approaches [34][35][36][37]. Motivating by the above consideration, the main theme of this manuscript is to have the significance of convective heating and variable heat source on Azimuthal oscillatory MHD convective flows developed in a cylindrical Darcy-Forchheimer porous medium filled by a radiating second-grade fluid.…”

Section: Introductionmentioning

confidence: 99%

Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach

et al. 2021

View full text Add to dashboard Cite

It is well established fact that the functional effects, such as relaxation and retardation of materials, can be measured for magnetized permeability based on relative increase or decrease during magnetization. In this context, a mathematical model is formulated based on slippage and non-slippage assumptions for Oldroyd-B fluid with magnetized permeability. An innovative definition of Caputo-Fabrizio time fractional derivative is implemented to hypothesize the constitutive energy and momentum equations. The exact solutions of presented problem, are determined by using mathematical techniques, namely Laplace transform with slipping boundary conditions have been invoked to tackle governing equations of velocity and temperature. The Nusselt number and limiting solutions have also been persuaded to estimate the heat emission rate through physical interpretation. In order to provide the validation of the problem, the absence of retardation time parameter led the investigated solutions with good agreement in literature. Additionally, comprehensively scrutinize the dynamics of the considered problem with parametric analysis is accomplished, the graphical illustration is depicted for slipping and non-slipping solutions for temperature and velocity. A comparative studies between fractional and non-fractional models describes that the fractional model elucidate the memory effects more efficiently.

show abstract

“…e proposed stochastic paradigms can be explored in the future to present the numerical solutions of the nonlinear mathematical systems [52][53][54][55][56][57][58][59][60][61].…”

Section: Data Availabilitymentioning

confidence: 99%

Swarming Computational Procedures for the Coronavirus‐Based Mathematical SEIR‐NDC Model

Suantai

Sabir

Raja

et al. 2022

Journal of Mathematics

View full text Add to dashboard Cite

The motive of the current work is related to solving the coronavirus-based mathematical system of susceptible (S), exposed (E), infected (I), recovered (R), overall population (N), civic observation (D), and cumulative performance (C), called as SEIR-NDC. The numerical solutions of the SEIR-NDC model are presented by using the computational framework of artificial neural networks (ANNs) together with the swarming optimization procedures aided with the sequential quadratic programming. The swarming procedure based on the particle swarm optimization (PSO) works as a global search, while the sequential quadratic programming (SQP) is used as a local search algorithm. A merit function is constructed by using the nonlinear dynamics of the SEIR-NDC mathematical system based on its 7 classes, and the optimization of the merit function is performed through the PSOSQP. The numerical expressions of system are accessible with the ANNs using the PSOSQP optimization with 30 variables. The correctness of the stochastic computing scheme performances is verified by using the comparison of the obtained performances of the mathematical SEIR-NDC system and the reference Runge–Kutta scheme. Furthermore, the graphical illustrations of the performance indices, absolute error, and convergence curves are derived to validate the robustness of the proposed ANN-PSOSQP approach for the mathematical SEIR-NDC system.

show abstract

Numerical and mathematical analysis of induction motor by means of AB–fractal–fractional differentiation actuated by drilling system

Cited by 24 publications

References 49 publications

Mathematical modeling of COVID-19 epidemic with effect of awareness programs

Mathematical modeling of COVID-19 epidemic with effect of awareness programs

Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach

Swarming Computational Procedures for the Coronavirus‐Based Mathematical SEIR‐NDC Model

Contact Info

Product

Resources

About