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Three-Dimensional Analytical Solution of the Fractional Atmospheric Pollutant Dispersion Equation Considering Caputo and Conformable Derivatives
In this work, two analytical solutions for the 3D steady-state fractional advection–diffusion equation are obtained in order to study the dispersion...
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Modeling and analysis of novel COVID-19 outbreak under fractal-fractional derivative in Caputo sense with power-law: a case study of Pakistan
In this paper, a five-compartment model is used to explore the dynamics of the COVID-19 pandemic, taking the vaccination campaign into account. The...
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A fractional-order modeling of human papillomavirus transmission and cervical cancer
Human papillomavirus (HPV) is a prevalent virus that plays a significant role in develo** cervical cancer, a leading cause of cancer-related deaths...
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Global analysis of a fractional-order viral model with lytic and non-lytic adaptive immunity
In this paper, we suggest a new fractional virus model with two routes of infection. The first is the usual virus-to-cell infection and the other is...
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Hepatitis C virus fractional-order model: mathematical analysis
Mathematical analysis of epidemics is crucial for the prediction of diseases over time and helps to guide decision makers in terms of public health...
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The waveform comparison of three fractional viscous acoustic wave equations
The forward simulation of the viscous acoustic wave equation is essential for understanding wave propagation and seismic inversion. The viscous...
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A fractional SEIQR model on diphtheria disease
The purpose of this paper is to study a fractional mathematical model on diphtheria disease, considering the parameters of natural immunity,...
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Exploring the dynamical bifurcation and stability analysis of Nipah virus; novel perspectives utilizing fractional calculus
A zoonotic virus called the Nipah virus (NV) can create deadly illness epidemics in humans. The animal host repository for NV is the fruit bat,...
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Numerical investigation of water migration in a closed unsaturated expansive clay system
Expansive clay is of multi-fissures and deterioration with the changing moisture. To ensure the safety of earth constructions founded on expansive...
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Selkov Dynamic System with Variable Heredity for Describing Microseismic Regimes
The paper proposes a new mathematical model for describing the microseismic modes of interaction of two types of fractures – seed and fractures that...
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Modelling disease spread with spatio-temporal fractional derivative equations and saturated incidence rate
The global analysis of a spatio-temporal fractional order SIR infection model with saturated incidence function is suggested and studied in this...
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High-Temporal-Accuracy Viscoacoustic Wave Propagation Based on k-Space Compensation and the Fractional Zener Model
The acoustic behavior in fluid attenuating media can be effectively simulated using a fractional Zener model (FZM). Because of the fractional time...
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A study on the model of robust fractional-order extended Kalman filtering with gross error
The global navigation satellite system (GNSS) is widely employed in location-based services (LBS) as a pivotal technology for high-precision...
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Fractional Viscoelastic Wave Attenuation Modeling
Wave propagation modeling in viscoelastic media often relies on the use of appropriate relaxation functions. These functions usually approximate the...
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Two-Dimensional Poroelastic Problem for Saturated Soil Under Fractional Order Theory of Thermoelasticity
A two-dimensional (2D) half-space elastic subgrade with multiple physical field coupling is examined in this study with normal mode analysis (NMA)...
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In-host fractional order model for malaria parasite dynamics with immune system
A cell-level dynamical model accounting for memory effects and human host defense is critical in many aspects of the disease, particularly in the...
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Spatial Filter for the Pseudo-spectral Implementation of Fractional Derivative Wave Equation
The viscoelasticity of the subsurface media varies spatially, and such viscoelasticity can be represented concisely by a wave equation in the form of...
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A Study of Uniaxial Acoustic Emission Creep of Salt Rock Based on Improved Fractional-Order Derivative
Aiming at the disadvantage that the traditional creep model cannot describe the nonlinear creep acceleration stage (third-order creep stage) of rock....
