ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

214

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A DPL model of photothermal interaction in a semiconductor material
The generalized model for plasma, thermal, and elastic waves under dual phase lag model have been applied to determine the carrier density, the displacement, the temperature, and the stresses in a semiconductor medium. Using Laplace transform and the eigenvalue approach methodology, the solutions of all variables have been obtained analytically. A semiconducting material like as silicon was considered. The results ... Read more

2019 | Keywords
Solutions of Some Difference Equations Systems and Periodicity
In this article, analysis and investigation have been conducted on the periodic nature as well as the type of the solutions of the subsequent schemes of rational difference equations Read more

Eigenvalue approach for generalized thermoelastic porous medium under the effect of thermal loading due to a laser pulse in DPL model
The aim of the present study is concerned with the thermal loading due to laser pulse on thermoelastic porous medium under dual-phase-lag model DPL. The material is a homogeneous isotropic elastic half-space and heated by a non-Gaussian laser beam with the pulse duration of 8 ps. Eigenvalue approach is proposed to analyze the problem and obtain the analytical solutions of ... Read more

An analytical study on the fractional transient heating within the skin tissue during the thermal therapy
In the present paper, the bioheat equation under fractional derivatives is used to study the thermal damage within the skin tissue during the thermal therapy. Basically, the analytical solutions in the Laplace domain are easily obtainable. The influences of the fractional derivative and moving heat source velocity on the temperature of skin tissues and the thermal injuries are precisely investigated. ... Read more

2019 | Keywords photothermal waves, semiconductor,
A GN model on photothermal interactions in a two-dimensions semiconductor half space
The model of coupled plasma and thermo-elastic wave were used to investigate the wave propagation in a two-dimensional semiconducting half space by using eigenvalues approach. By using Fourier and Laplace transformations with the eigenvalues techniques methodology, the exact solution of all physical quantities is obtained. The boundary edge of the plane is due to a heat flux with a pulse ... Read more

2019 | Keywords B-cell impairment,
Global properties of latent virus dynamics with B-cell impairment
In this paper we construct virus dynamics models with impairment of B-cell functions. Two different forms of the incidence rate have been considered, bilinear and general. The latently infected cells have been incorporated into the models. The well-posedness of the models is justified. The models admits two equilibria which are determined by the basic reproduction number R0. The global stability ... Read more

Analytical estimations of temperature in a living tissue generated by laser irradiation using experimental data
This paper presents an analytical approach associated with Laplace transformation, experimental temperature data, and a sequential concept over time to obtain the thermal damage and the temperature in a living tissue due to laser irradiation. The analytical solutions in the Laplace domain are appreciably obtainable. The thermal damage to the tissue is completely assessed by the denatured protein range using ... Read more

2019 | Keywords semiconductor, photothermal waves,
Two-Temperature Photothermal Interactions in a Semiconducting Material with a 3-D Spherical Cavity
In this paper, a two-temperatures photothermoelastic interactions in an infinite semiconductor medium with a spherical cavity were studied using mathematical methods. The cavity internal surface is traction free and the carrier density is photogenerated by boundary heat flux with an exponentially decaying pulse. Laplace transform techniques are used to obtain the exact solution of the problem in the transformed domain ... Read more

Fractional Order Thermoelastic Wave Assessment in a Nanoscale Beam Using the Eigenvalue Technique
This paper presents an analytical approach associated with Laplace transforms and a sequential concept over time to obtain the increment of temperature in nanoscale beam with fractional order heat conduction clamped from both ends. The governing equations are written in the forms of differential equations of matrix-vector in the domain of the Laplace transforms and are then solved by the ... Read more

An analytical solution of the bioheat model in a spherical tissue due to laser irradiation
This article studies an analytical approach associated with Laplace transform, experimental temperature data and a sequential concept over time to obtain the thermal damage and the temperature in living tissue due to laser irradiation. The effects of blood perfusion and the thermal relaxation time on the temperature of skin tissues and the resulting of thermal damage are investigated. The resulting ... Read more