On the analysis of Caputo fractional order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model

Ain, Qura Tul; Anjum, Naveed; Din, Anwarud; Zeb, Anwar; Djilali, Salih; Khan, Zareen A.

doi:10.1016/j.aej.2021.10.016

Cited by 43 publications

(13 citation statements)

References 62 publications

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“…As a result, developing various approaches known in the sense of fuzzy fractional differentials remains a future aim for us and many other scholars [21][22][23][24][25]. Finally, using the homotopy perturbation approach, the impacts of a wide range of fuzzy theory values and fractional order on the dynamics of fractional enzymatic reactions were examined.…”

Section: Future Recommendationsmentioning

confidence: 99%

Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense

Ain

Nadeem

Kumar

et al. 2023

Advances in Mathematical Physics

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In this article, the dynamics of the fuzzy fractional order enzyme Michaelis Menten model are investigated. To study problems with uncertainty, fuzzy fractional technique is applied. Using fuzzy theory, the sequential iterations of the model are calculated by applying fractional calculus theory and the homotopy perturbation method. A comparison is given for fractional and fuzzy results, and the numerical findings validate the fuzzy fractional case. Using MATLAB software, the results are simulated for various fractional orders, corresponding to the provided data. The simulations demonstrate the model’s appropriateness.

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Section: Future Recommendationsmentioning

confidence: 99%

Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense

Ain

Nadeem

Kumar

et al. 2023

Advances in Mathematical Physics

Self Cite

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“…Many stability notions have been developed in the last few decades, among which are Ulam-Hyers stability [31], Lyapunov stability [32], exponential stability [33], Mittag-Leffler stability [34] and so on. Then, we use the Banach contraction principle (see [35,36]) to check the stability of the proposed Laplace variational iteration (LVI).…”

Section: Stability Analysis Of the Laplace Variational Iteration Schemementioning

confidence: 99%

Stability Analysis and Computational Interpretation of an Effective Semi Analytical Scheme for Fractional Order Non-Linear Partial Differential Equations

2022

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In this study we will check the stability of the semi analytical technique, the Laplace variational iteration (LVI) scheme, which is the combination of a variational iteration technique and the Laplace transform method. Then, we will apply it to solve some non-linear fractional order partial differential equations. Since the Laplace transform cannot be applied to non-linear problems, the combination of the variational iteration technique with it will give a better and rapidly convergent sequence. Exact solutions may also exist, but we will show that the coupled technique is much better to approximate the exact solutions. The Caputo–Fabrizio fractional derivative will be used throughout the study. In addition, some possible implications of the results given here are connected with fixed point theory.

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“…Linear and non-linear differential equations arising in circuit analysis are investigated by using Maclaurin series method [25]. The analysis of Caputo fractional-order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model are discussed in [26]. He's fractional derivative and fractional complex transform are implemented for the time fractional Camassa-Holm equation [27].…”

Section: Introductionmentioning

confidence: 99%

The Fractional Investigation of Fornberg-Whitham Equation Using an Efficient Technique

Khan¹,

Nawaz²,

Khan³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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In the last few decades, it has become increasingly clear that fractional calculus always plays a very significant role in various branches of applied sciences. For this reason, fractional partial differential equations (FPDEs) are of more importance to model the different physical processes in nature more accurately. Therefore, the analytical or numerical solutions to these problems are taken into serious consideration and several techniques or algorithms have been developed for their solution. In the current work, the idea of fractional calculus has been used, and fractional Fornberg Whitham equation (FFWE) is represented in its fractional view analysis. A well-known method which is residual power series method (RPSM), is then implemented to solve FFWE. The RPSM results are discussed through graphs and tables which conform to the higher accuracy of the proposed technique. The solutions at different fractional orders are obtained and shown to be convergent toward an integer-order solution. Because the RPSM procedure is simple and straightforward, it can be extended to solve other FPDEs and their systems.

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On the analysis of Caputo fractional order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model

Cited by 43 publications

References 62 publications

Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense

Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense

Stability Analysis and Computational Interpretation of an Effective Semi Analytical Scheme for Fractional Order Non-Linear Partial Differential Equations

The Fractional Investigation of Fornberg-Whitham Equation Using an Efficient Technique

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