Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional operator

Xu, Changjin; Farman, Muhammad; Hasan, Ali; Akgül, Ali; Zakarya, Mohammed; Albalawi, Wedad; Park, Choonkil

doi:10.1016/j.aej.2022.05.025

Cited by 51 publications

(14 citation statements)

References 31 publications

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“…Different researchers have tried different numerical and mathematical algorithm to model the system from input-output data where process phenomenology is not known. Alternative route of numerical analysis currently emerging is artificial intelligence (AI)-based modeling technique [7,23,28,33,42]. In this scenario, an artificial intelligence-based data-driven modeling technique can be a feasible alternative where process phenomenology is not required.…”

Section: Graphical Abstract 1 Backgroundmentioning

confidence: 99%

Application of multi-gene genetic programming technique for modeling and optimization of phycoremediation of Cr(VI) from wastewater

Sarkar

Sen

Dutta

et al. 2023

Beni-Suef Univ J Basic Appl Sci

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Background Removal of Cr(VI) from wastewater is essential as it is potentially toxic and carcinogenic in nature. Bioremediation of heavy metals using microalgae is a novel technique and has several advantages such as microalgae remove metals in an environmentally friendly and economic manner. The present study deals with modeling and optimization of the phycoremediation of Cr(VI) from synthetic wastewater. The initial concentration of Cr(VI), initial pH, and inoculum size were considered as input factors, and the percentage removal of Cr(VI) was chosen as a response. Results An accurate data-driven genetic programming model was developed with the experimental data of other scientists to find a relation between the percentage removal of Cr(VI) and all input parameters. To maximize the removal of Cr(VI), the grey wolf optimization technique was applied to determine the optimal values of input parameters. Conclusion These optimum input parameters are difficult to get through experimentation using the trial-and-error method. The established modelling and optimization technique is generic and can be applied to any other experimental study. Graphical Abstract

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Section: Graphical Abstract 1 Backgroundmentioning

confidence: 99%

Application of multi-gene genetic programming technique for modeling and optimization of phycoremediation of Cr(VI) from wastewater

Sarkar

Sen

Dutta

et al. 2023

Beni-Suef Univ J Basic Appl Sci

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“…Followings given in [17,27] some useful definitions to get solution for proposed model If Ψ(t) is continuous on the interval (a, b), then the fractal fraction integral of Ψ(t) of order υ with a kernel of the type Mittage-Leffler and given by Definition 2.1.…”

Section: Basic Concepts Of Fractional Operatormentioning

confidence: 99%

Analysis and dynamical transmission of tuberculosis model with Treatment effect by using Fractional Operator

Farman

Malik

Akgül

et al. 2023

Preprint

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Each year, millions of people die from the airborne infectious illness tuberculosis (TB). Several drug-susceptible (DS) and drug-resistant (DR) forms of the causative agent, Mycobacterium tuberculosis (MTB), are currently common in the majority of affluent and developing nations, particularly in Bangladesh, and completely drug-resistant strains are beginning to arise. In this study, we developed fractional order tuberculosis model with fractal fractional operator by using generalized mittag-leffler kernel. By demonstrating characteristics such the boundedness of solutions, positivity, and the reliance of the solution on the original data, the biological well-posedness of the mathematical model formulation was investigated for TB cases of 2002 to 2017 in KPK Pakistan. Ulam-Hyres stability is also used to assess both local and global aspects of TB bacterial infection. Sensitivity analysis of the TB model with therapy was also examined. The advanced numerical technique is used to find the solution of the fractional-order system to check the impact of fractional parameters. Simulation highlights that all classes have converging qualities and retain established positions with time which shows the actual behavior of bacterial infection of TB. By examining the non-integer order with integer orders we find a better comparative result to maintain the position of non-integer order.

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“…Nevertheless, as the literature indicates, discovering these answers has not been simple. In recent studies [27][28][29][30][31][32][33], the research scholars provided a straightforward method for constructing travelling wave solutions to general nonlinear equations, which may or may not be integrable, beginning with solutions of simple equations (including even linear equations). As proved by nontrivial examples (usually involving equations of the third order), this method is particularly effective for getting travelling wave solutions of nonlinear equations.…”

Section: Introductionmentioning

confidence: 99%

Travelling Wave Solutions of the Non-Linear Wave Equations

Haider

Gul

Rahman

et al. 2023

Acta Mechanica Et Automatica

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This article focuses on the exact periodic solutions of nonlinear wave equations using the well-known Jacobi elliptic function expansion method. This method is more general than the hyperbolic tangent function expansion method. The periodic solutions are found using this method which contains both solitary wave and shock wave solutions. In this paper, the new results are computed using the closed-form solution including solitary or shock wave solutions which are obtained using Jacobi elliptic function method. The corresponding solitary or shock wave solutions are compared with the actual results. The results are visualised and the periodic behaviour of the solution is described in detail. The shock waves are found to break with time, whereas, solitary waves are found to be improved continuously with time.

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Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional operator

Cited by 51 publications

References 31 publications

Application of multi-gene genetic programming technique for modeling and optimization of phycoremediation of Cr(VI) from wastewater

Application of multi-gene genetic programming technique for modeling and optimization of phycoremediation of Cr(VI) from wastewater

Analysis and dynamical transmission of tuberculosis model with Treatment effect by using Fractional Operator

Travelling Wave Solutions of the Non-Linear Wave Equations

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