Mathematical modeling and stability analysis of the novel fractional model in the Caputo derivative operator: A case study

Saadeh, Rania; Abdoon, Mohamed A.; Qazza, Ahmad; Berir, Mohammed; Guma, Fathelrhman EL; Al-kuleab, Naseam; Degoot, Abdoelnaser M

doi:10.1016/j.heliyon.2024.e26611

Heliyon

2024

DOI: 10.1016/j.heliyon.2024.e26611

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Mathematical modeling and stability analysis of the novel fractional model in the Caputo derivative operator: A case study

Rania Saadeh,

Mohamed A. Abdoon,

Ahmad Qazza

et al.

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2024

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Cited by 2 publications

References 43 publications

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Computational analysis of water-based silver, copper, and alumina hybrid nanoparticles over a stretchable sheet embedded in a porous medium with thermophoretic particle deposition effects

Karthik,

Saadeh,

Kumar

et al. 2024

Nanotechnology Reviews

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The present study scrutinizes the significance of heat source/sink (HSS), thermophoretic particle deposition, and porous media on the time-dependent ternary nanofluid stream across a stretchable surface in the presence of Newtonian heating (NH) and common wall temperature (CWT) cases. The governing equations of the investigated model are changed into ordinary differential equations by using suitable similarity transformations. The resultant dimensionless equations are solved using the Laguerre polynomial collocation method. For comparison, the Runge Kutta Fehlberg’s fourth-fifth order (RKF-45) method is employed. Graphs are used to illustrate the significant parameters’ impacts on each profile, and relevant physical quantities such as the Sherwood number, skin friction, and Nusselt number are exhibited. The study reveals that the velocity profile drops with an increase in permeable parameters. The thermal profile increases with improvement in porous and HSS constraints. The concentration diminishes as the value of the thermophoretic parameter rises. For better solid volume fraction values, the rate of temperature dispersal is lower in the NH case associated with the CWT case. Additionally, the rate of thermal distribution is enhanced by approximately 2.90% surface drag force, 4.73% in the CWT case and 2.27% in the NH case, and the rate of mass transfer is enhanced by 2.99% when transitioning from ternary the ternary hybrid nanofluid to the (normal) nanofluid. The results of the study will help in heat exchangers, thermal management, chemical engineering, biomedical instruments, and design and optimization of electronic equipment.

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Computational analysis of water-based silver, copper, and alumina hybrid nanoparticles over a stretchable sheet embedded in a porous medium with thermophoretic particle deposition effects

Karthik,

Saadeh,

Kumar

et al. 2024

Nanotechnology Reviews

View full text Add to dashboard Cite

show abstract

Improving Influenza Epidemiological Models under Caputo Fractional-Order Calculus

E. Alsubaie,

EL Guma,

Boulehmi

et al. 2024

Symmetry

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The Caputo fractional-order differential operator is used in epidemiological models, but its accuracy benefits are typically ignored. We validated the suggested fractional epidemiological seasonal influenza model of the SVEIHR type to demonstrate the Caputo operator’s relevance. We analysed the model using fractional calculus, revealing its basic properties and enhancing our understanding of disease progression. Furthermore, the positivity, bounds, and symmetry of the numerical scheme were examined. Adjusting the Caputo fractional-order parameter α = 0.99 provided the best fit for epidemiological data on infection rates. We compared the suggested model with the Caputo fractional-order system and the integer-order equivalent model. The fractional-order model had lower absolute mean errors, suggesting that it could better represent sickness transmission and development. The results underline the relevance of using the Caputo fractional-order operator to improve epidemiological models’ precision and forecasting. Integrating fractional calculus within the framework of symmetry helps us build more reliable models that improve public health interventions and policies.

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Mathematical modeling and stability analysis of the novel fractional model in the Caputo derivative operator: A case study

Cited by 2 publications

References 43 publications

Computational analysis of water-based silver, copper, and alumina hybrid nanoparticles over a stretchable sheet embedded in a porous medium with thermophoretic particle deposition effects

Computational analysis of water-based silver, copper, and alumina hybrid nanoparticles over a stretchable sheet embedded in a porous medium with thermophoretic particle deposition effects

Improving Influenza Epidemiological Models under Caputo Fractional-Order Calculus

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