E.A. Ismail

Bio: E.A. Ismail is an academic researcher from Arab Academy for Science, Technology & Maritime Transport. The author has contributed to research in topics: Free surface & Magnetic field. The author has an hindex of 2, co-authored 3 publications receiving 25 citations.

Electromagnetic Hall Current Effect and Fractional Heat order for Microtemperature Photo-Excited Semiconductor Medium with Laser Pulses

Abstract: In this paper, the elastic semiconductor medium is exposed to outer laser pulses. The laser pulses cause vibrations in the inner structure of the medium with the time fractional heat order. Under the influence of strong external magnetic field, the effect of Hall current is appeared in this case the interaction between the strong magnetic field and microstructure (microelements) of the elastic medium is studied. The microtemperature states is generated due to photo-excited electrons in context of photothermal transport process. The one-dimensional (1D) deformation is used to describe the overlapping process between elastic-magneto-plasma-thermal distribution waves in case of semiconductor elastic rod. The governing equations are solved in Laplace integral transform domain in microelements field. Some external loads are applied at the outer free surface of the medium to obtain the physical quantities under investigation. To obtain the complete solutions of the physical quantities the numerical inversion technique of Laplace transform is used. The Hall current, fractional parameters and micro-temperature effect are presented graphically and discussed theoretically under the effect of laser pulses.

Analytical solutions of time-fractional heat order for a magneto-photothermal semiconductor medium with Thomson effects and initial stress

Abstract: The influence of hydrostatic initial stress in the context of the time-fractional heat order equation is investigated The strong electromagnetic field is applied at the external surface of semiconductor elastic medium during the photothermal transport process The Thomson influence appears due to the strong magnetic field The behavior of wave propagations of the elastic medium is obtained in context of the thermoelectricity theory with initial stress The governing main equations are taken in two dimensions to describe the interaction between elastic-thermal-plasma and electromagnetic waves for fractional cases The density of charge is studied as a function of time only when the electric current is induced The separation of variables is used as a mathematical technique to obtain the exact solutions of the distributions of physical quantities under investigation Some mechanical, thermal, plasma and magnetic conditions are applied at the free surface elastic medium A numerical simulation is used to obtain physical quantities distributions graphically and discussed theoretically in various fractional cases

Analytical solution of a rotating semiconductor elastic medium due to a refined heat conduction equation with hydrostatic initial stress

Abstract: The semiconductor elastic medium in the context of the photothermal theory under the influence of rotation field is studied. A novel model of the governing equations is investigated due to the refined multi-phase-lags with the thermal relaxation times of the heat equation with the hydrostatic initial stress during transport process of the photothermal phenomenon. The interaction between the multi-waves of elastic-thermal-plasma is obtained. The normal mode method in the two dimensions is applied to obtain the exact solutions of the basic physical quantities under investigation. Plasma, thermal and mechanical loads have been applied on the free surface of the semi-infinite semiconductor elastic medium to get the complete solutions of the basic physical fields. Some comparisons are shown graphically and they are discussed as a function of thermal memories with the variation of some parameters. Silicon (Si) material is used to make the numerical simulation and to display the sensitivity to the variation of the rotation parameter.

Dynamic response of FG-CNTRC beams subjected to a moving mass

Abstract: This article presents the forced vibration of composite beams reinforced by single-walled carbon nanotubes (SWCNTs) and subjected to a moving mass. Considering the distribution of carbon nanotubes such as uniform (UD-CNT), functionally graded Λ (FGΛ-CNT) and X (FGX-CNT), three different beams are studied. Based on a third-order shear deformation theory (TSDT), the motion equations of the beams are derived using Hamilton's principle. Including mass interaction forces, the motion equations are transformed into a finite element equation in which a two-node beam element with eight degrees of freedom is utilized. To improve the efficiency of the beam element, the transverse shear rotation is employed as an independent variable in the derivation of the beam element. The vibration characteristics, including the dynamic magnification factors and the time histories for mid-span deflections are computed by using the Newmark method. Numerical result reveal that the vibration of the beams is clearly influenced of the CNT reinforcement, and the dynamic magnification is significantly decreased by increasing the CNT volume fraction. It is also shown that the FGX-CNT beam is the best in dynamic resistance in terms of the lowest dynamic deflection and dynamic magnification factors. The effects of the total volume fraction and the moving load velocity on the dynamic behaviour of the functionally graded carbon nanotube reinforced composites (FG-CNTRC) beams are examined in detail and highlighted.

Optimal control and bifurcation diagram for a model nonlinear fractional SIRC

Abstract: In this article, the optimal control for nonlinear SIRC model is studied in fractional order using the Caputo fractional derivative. Graph signal flow is given of the model and simulated by Simulink/Matlab which helps in discussing the topological structure of the model. Dynamics of the system versus certain parameters are studied via bifurcation diagrams, Lyapunov exponents and Poincare maps. The existence of a uniformly stable solution is proved after control. The obtained results display the activeness and suitability of the Mittag Generalized-Leffler function method (MGLFM). The approximate solution of the fractional order SIRC model using MGLFM is explained by giving the figures of solutions before and after control. Also, we plot the 3D relationships with different alpha (fractional order) which display the originality and suitability of the results.

Dynamical Characteristics and Signal Flow Graph of Nonlinear Fractional Smoking Mathematical Model

Abstract: In this article, we study approximate analytic solutions for one of the famous models in biomathematics, namely the nonlinear fractional mathematical smoking model. When alpha=1, we deduce the analytical solution using the Reduced differential transforms method (RDTM) for the nonlinear ordinary mathematical smoking model. The disease-free equilibrium point, the stability of the equilibrium point, and the reproduction number are all discussed for the fractional mathematical smoking model. We use mathematical software packages such as Mathematica to find more iteration when calculating the approximate solution. Results are presented graphically to illustrate the behavior of the obtained approximate solutions. The system is presented by a proposed novel signal flow graph and simulated via SIMULINK/MATLAB. The graph of signal flow is used to calculate some of the model invariants such as the adjacency matrix, model energy, and Estrada index. Also, the novelty and significance of the results are clear using a 3D plot.

Numerical solution and dynamical behaviors for solving fractional nonlinear Rubella ailment disease model

Abstract: - In this manuscript, we work on the essential collocation technique via utilizing the shifted second Chebyshev polynomials type (SSCPT). The numeral technique for unraveling the nonlinear fractional Rubella ailment. The characteristic of the SSCPT is introduced. The dynamic system for this model is discussed. We proved the existence of a stable solution of the fractional model after and before control. The optimal control of this model and numerical technique for the simulation of the control problem is also discussed. The finite difference strategy has been utilized to fathom the arrangement of conditions. The numerical model is given to affirm the unwavering quality and adequacy of the suggested technique. The fad and importance of the results are clearing about the 3D plot. We are discussing free disease equilibrium, stability equilibrium point, and the existence of stable solution. It appears that the solutions acquired are novel and ability is helpful in analyzing the internal technique of other nonlinear biological models. Next applying the numerical technique, we are able to say that the outcomes we acquired are perfect, whether from an analytical or numerical point of view. Additionally, the numerical outcomes are completely consistent with the analytical outcomes. The numerical technique used in this manuscript to solve this model has not been utilized by any author before that. Also, this model with fractional derivatives defined in this way has not been studied before that. The techniques utilized are easy to effect, whether analytical or numerical and give good outcomes.