We explore theoretically the photoacoustic wave propagation created by photoexcited carrier diffusion in thermoelastic domain. Consideration is given to coupling of acoustic and thermomechanical waves. Under influence photothermal thermoelasticity theories, governing equations are derived. The creation independent electron–phonon electron–hole thermalization results from stress brought on increase temperature generated light. Considering optical, elastic, properties semiconductor material,...

The main goal of this paper is to develop a mathematical model for the piezoelectric elastic-semiconductor medium. medium homogeneous and isotropic that exposed photothermal excitation processes. Gauss’s law electrostatics used obtain effect phenomenon. governing equations with electric potential are expressed in terms thermoelasticity theory theory. One-dimensional Laplace transform get solution some physical quantities when heat sources body forces absent. mechanical thermal loads...

These equations are of much significance in Newtonian astrophysics and the constant n is named polytropic sort. In this paper, we enthused about considering another methodology Elzaki transform homotopy perturbation technique (ETHPT) to address nonlinear Emden-Fowler systems. This strategy a blend new indispensable change bothers technique. The term may be effortlessly dealt with by disturbance strategy. porous medium conditions have planning sciences set up respectable model for certain...

In this study, fractional order is applied to the glioblastoma multiforme (GBM) and IS interaction models. The monoclonal brain tumor GBM gives rise other tumors with varying growth rates treatment susceptibilities once it reaches a certain density. two populations of macrophages activated make up cells as well. Because this, model depicts conversions: transformation sensitive cell into resistant passive active macrophages, well an among macrophages. memory nonlocalization properties...

In this investigation, the variable thermal conductivity, which depends on a linear function of temperature, is studied during photothermal excitation processes. The influence external magnetic field in context volumetrically heat source (optically source) an elastic semiconductor medium investigated. pulse flux and memory generalized thermoelasticity theory taken into consideration. governing equations are obtained one dimension (1D) by cylindrical coordinates. interactions between Photo...

In this paper, Generalized Mittag-Leffler function method (GMLFM) and Sumudu transform (STM) are applied to study solve the fractional order smoking model, where derivatives defined in Caputo sense. The disease free equilibrium (DFE) stability of point studied. Lyapunov exponents Poincare map model drawn ensure model. obtained results show that proposed methods very effective convenient. addition, is presented by its signal flow graph simulated using Matlab/Simulink.

In this paper, the elastic semiconductor medium is exposed to outer laser pulses. The pulses cause vibrations in inner structure of with time fractional heat order. Under influence strong external magnetic field, effect Hall current appeared case interaction between field and microstructure (microelements) studied. microtemperature states generated due photo-excited electrons context photothermal transport process. one-dimensional (1D) deformation used describe overlapping process...

In this paper, we work on the fundamental collocation strategy using moved Vieta–Lucas polynomials type (SVLPT). A numeral method is used for unwinding nonlinear Rubella illness Tributes. The quality of SVLPT presented. limited contrast system to understand game plan conditions. mathematical model given attest resolute and ampleness recommended procedure. oddity meaning outcomes are cleared utilizing a 3D plot. We examine free sickness harmony, security balance point presence consistently...

Abstract In this work, we use two different techniques to discuss approximate analytical solutions for the time‐fractional Fokker–Planck equation (TFFPE), namely new iterative method (NIM) and fractional power series (FPSM). Stability analyses truncation errors are studied using a procedure like fundamental von Neumann stability analysis. Discretization is carried out numerically TFFPE by implicit finite difference Crank–Nicolson method. The used in solving simple powerful enough understand...

- In this manuscript, we work on the essential collocation technique via utilizing shifted second Chebyshev polynomials type (SSCPT). The numeral for unraveling nonlinear fractional Rubella ailment. characteristic of SSCPT is introduced. dynamic system model discussed. We proved existence a stable solution after and before control. optimal control numerical simulation problem also finite difference strategy has been utilized to fathom arrangement conditions. given affirm unwavering quality...

In this article, a novel and efficient approach based on Lucas polynomials is introduced for solving three-dimensional mixed Volterra–Fredholm integral equations the two types (3D-MVFIEK2). This method transforms 3D-MVFIEK2 into system of linear algebraic equations. The error evaluation suggested scheme discussed. technique implemented in four examples to illustrate efficiency fulfillment approach. Examples numerical solutions both nonlinear were used. polynomial other approaches contrasted....

In this paper, a novel approach to modeling the spread of highly infectious and dangerous viruses, particularly focusing on COVID-19 pandemic is presented. The proposed model fractional demand numerical Caputo-Fabrizio type, which offers more nuanced comprehensive insights into multidimensional nature virus's behavior compared previously established full-number solicitation models. One significant advantages that it provides constantly variable substantial information about nature. This...

In the study of epidemiology, mathematical modelling is crucial because it improves understanding underlying mechanisms that cause illnesses to spread and offers possibility developing preventative interventions. this paper, we have discussed a fractional model. A set differential equations used build We applied Caputo Fabrizio (CF) describe breast cancer The model consists five subpopulations make up population. They are disease-free (D), cardiotoxic (E), stages 1 2 (A), 3 (B), 4 (C)....

A numerical method for solving the fractional‐order logistic differential equation with two different delays (FOLE) is considered. The fractional derivative described in Caputo sense. proposed based upon Chebyshev approximations. properties of polynomials are utilized to reduce FOLE a system algebraic equations. Special attention given study convergence and error estimate presented method. Numerical illustrations demonstrate utility Chaotic behavior observed smallest order chaotic obtained....

This paper is devoted with numerical solution of the system fractional differential equations (FDEs) which are generated by optimization problem using Chebyshev collocation method.The derivatives presented in terms Caputo sense.The application proposed method to FDEs leads algebraic can be solved Newton iteration introduces a promising tool for solving many systems non-linear FDEs.Two examples provided confirm accuracy and effectiveness methods.Comparisons finite difference (FDM) fourth...

The influence of hydrostatic initial stress in the context time-fractional heat order equation is investigated. strong electromagnetic field applied at external surface semiconductor elastic medium during photothermal transport process. Thomson appears due to magnetic field. behavior wave propagations obtained thermoelectricity theory with stress. governing main equations are taken two dimensions describe interaction between elastic-thermal-plasma and waves for fractional cases. density...

This paper is devoted to the model of Lassa hemorrhagic fever (LHF) disease in pregnant women. a biocidal and epidemic. LHF women has negative impacts that were initially appeared Africa. In present study, we find an approximate solution fractional-order describes fatal disease. Laplace transforms coupled with Adomian decomposition method (ADM) are applied. addition, numerically simulated terms varied fractional order. Furthermore, order optimal control for studied.