3rd TAGRA

Chronic Hepatitis B Virus (HBV) infection remains a major global health challenge due to its persistence and progression to severe liver diseases. This study develops and analyzes a mathematical model to investigate the long-term dynamics of chronic HBV transmission. The disease-free and endemic equilibrium points, together with the basic reproduction number $\mathfrak{R}_0$, are derived and...

In recent decades, the rapid development of nanoscience and nanotechnology has significantly increased interest in the fundamental and applied properties of semiconductor nanostructures. In low-dimensional systems such as quantum wells, quantum wires, quantum dots, and other nanostructures with characteristic dimensions comparable to the electron de Broglie wavelength or the exciton Bohr...

During the final stage of field exploitation, a decline in oil production is observed due to reservoir energy depletion, changes in the pressure regime, reservoir rock heterogeneity, increasing water cut, and the clogging of pore channels.Significant volumes of residual oil reserves remain in such reservoirs.Accurately assessing the current state of the reservoir-well system and forecasting...

Mobile gaming addiction has emerged as a significant behavioural problem which could be investigated mathematically through modelling techniques akin to those used for transmission of diseases in a population. In this paper, we propose a Takagi-Sugeno fuzzy fractal-fractional model to describe the dynamics of PUBG Mobile addiction via a system of five compartments: susceptible, exposed,...

This paper is devoted to the asymptotic analysis of a system of singularly perturbed integral equations with a piecewise-smooth matrix kernel. The presence of a small parameter multiplying the unknown function leads to a singular perturbation problem, in which the limiting equation may not adequately describe the behavior of the solution. The main objective is to construct an asymptotic...

This study focuses on the development and MATLAB implementation of a four-node quadrilateral (Q4) finite element for the free bending vibration analysis of isotropic plates. A Mindlin–Reissner plate formulation is adopted so that transverse displacement and two independent rotations are considered at each node. The element formulation includes bending and transverse shear deformation, and a...

Fractal structures occur naturally in mathematics, physics, engineering, and many complex systems. Since classical calculus is formulated primarily on smooth spaces, a natural question arises: How can calculus be developed directly on a fractal set? In this talk, we introduce fractal calculus, a local framework for differentiation and integration on fractal supports. The approach is based on a...