Comparative study of blood sugar–insulin model using fractional derivatives

Areshi, Mounirah; Goswami, Pranay; Mishra, Manvendra Narayan

doi:10.1080/16583655.2024.2339009

Journal of Taibah University for Science

2024

DOI: 10.1080/16583655.2024.2339009

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Comparative study of blood sugar–insulin model using fractional derivatives

Mounirah Areshi,

Pranay Goswami,

Manvendra Narayan Mishra

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2024

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Cited by 2 publications

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Analytic solutions of fractional kinetic equations involving incomplete ℵ-function

Meena,

Purohit

2024

Int. J. Math. Ind.

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This paper expressed the fractional kinetic equation (KE) in terms of the incomplete [Formula: see text]-function, I-function, Fox H-function, and Meijer’s G-function. It assesses the importance of fractional KE in diverse scientific and engineering contexts, highlighting its relevance across various scenarios. In this paper, we investigate the results of Katugampola’s kinetic fractional equations with the product of the generalized M-series and incomplete [Formula: see text]-function. The [Formula: see text]-Laplace transform is applied for obtaining the desired results. Utilizing an M-series, the universality of this series is harnessed to deduce solutions for a fractional KE. Furthermore, a graphical representation of the obtained solutions’ behaviors is presented, enhancing the impact of the findings.

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Analytic solutions of fractional kinetic equations involving incomplete ℵ-function

Meena,

Purohit

2024

Int. J. Math. Ind.

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Analysis of Infection and Diffusion Coefficient in an SIR Model by Using Generalized Fractional Derivative

Alazman,

Mishra,

Alkahtani

et al. 2024

Fractal Fract

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In this article, a diffusion component in an SIR model is introduced, and its impact is analyzed using fractional calculus. We have included the diffusion component in the SIR model. in order to illustrate the variations. Here, we have applied the general fractional derivative to analyze the impact. The Laplace decomposition technique is employed to obtain the numerical outcomes of the model. In order to observe the effect of the diffusion component in the SIR model, graphical solutions are also displayed.

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Comparative study of blood sugar–insulin model using fractional derivatives

Cited by 2 publications

References 34 publications

Analytic solutions of fractional kinetic equations involving incomplete ℵ-function

Analytic solutions of fractional kinetic equations involving incomplete ℵ-function

Analysis of Infection and Diffusion Coefficient in an SIR Model by Using Generalized Fractional Derivative

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