Acoustic Fractional Propagation in Terms of Porous Xerogel and Fractal Parameters

Paun, Maria-Alexandra; Paun, Vladimir-Alexandru; Paun, Viorel-Puiu

doi:10.3390/gels10010083

Cited by 2 publications

(1 citation statement)

References 41 publications

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“…Lacunarity enables discrimination between sets with identical fractal dimensions but distinct textures 53 . The results summarized in Table 2 show that the lowest value of β is observed for sample S300, which suggests that the distribution of gap sizes on the surface is the most uniform 54 . Additionally, the S500 sample exhibited the highest grade of heterogeneity.…”

Section: Advanced Fractal Analysismentioning

confidence: 98%

Analysing the surface morphology of annealed FTO/ZnS bilayer films: stereometric, fractal, and wettability approaches

Eftekhari,

Ghasemi

2024

Sci Rep

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The surface micromorphology and roughening of the thermal evaporation-coated FTO/ZnS bilayer thin films annealed at 300, 400, 500, and $$550\,^\circ{\text{C}}$$ 550 ∘ C for 1 h have been studied. AFM images of the prepared samples were analysed by the MountainsMap software, and the effects of the annealing temperature on the surface texture of the FTO/ZnS thin film’s surface were investigated. Stereometric and advanced fractal analyses showed that the sample annealed at $$500\,^\circ{\text{C}}$$ 500 ∘ C exhibited greater surface roughness and greater skewness and kurtosis. This film also has the most isotropic surface and exhibits the highest degree of heterogeneity. Also, despite the decrease in surface roughness with increasing temperature from 500 to $$550 \,^\circ{\text{C}}$$ 550 ∘ C , the fractal dimension tends to increase. The static water contact angle measurements indicate that the film annealed at $$500 \,^\circ{\text{C}}$$ 500 ∘ C exhibits higher hydrophobicity, which can be attributed to its greater topographic roughness. Our research indicates that the surface morphology of FTO/ZnS bilayer thin films is influenced by the annealing temperature. Changing factors such as roughness, fractality, and wettability parameters to help improve surface performance make the FTO/ZnS bilayer suitable for application in electronic and solar systems.

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Section: Advanced Fractal Analysismentioning

confidence: 98%

Analysing the surface morphology of annealed FTO/ZnS bilayer films: stereometric, fractal, and wettability approaches

Eftekhari,

Ghasemi

2024

Sci Rep

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Fractal fractional model for tuberculosis: existence and numerical solutions

Khan,

Shah,

Abdeljawad

et al. 2024

Sci Rep

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This paper deals with the mathematical analysis of Tuberculosis by using fractal fractional operator. Mycobacterium TB is the bacteria that causes tuberculosis. This airborne illness mostly impacts the lungs but may extend to other body organs. When the infected individual coughs, sneezes or speaks, the bacterium gets released into the air and travels from one person to another. Five classes have been formulated to study the dynamics of this disease: susceptible class, infected of DS, infected of MDR, isolated class, and recovered class. To study the suggested fractal fractional model’s wellposedness associated with existence results, and boundedness of solutions. Further, the invariant region of the considered model, positive solutions, equilibrium point, and reproduction number. One would typically employ a fractional calculus approach to obtain numerical solutions for the fractional order Tuberculosis model using the Adams-Bashforth-Moulton method. The fractional order derivatives in the model can be approximated using appropriate numerical schemes designed for fractional order differential equations.

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Acoustic Fractional Propagation in Terms of Porous Xerogel and Fractal Parameters

Cited by 2 publications

References 41 publications

Analysing the surface morphology of annealed FTO/ZnS bilayer films: stereometric, fractal, and wettability approaches

Analysing the surface morphology of annealed FTO/ZnS bilayer films: stereometric, fractal, and wettability approaches

Fractal fractional model for tuberculosis: existence and numerical solutions

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