A New analytical Modeling for Fractional Telegraph Equation Arising in Electromagnetic

In this article, the He’s variation iteration method (VIM) and Elzaki integral transform are proposed to analyze the time-fractional telegraph equations arising in electromagnetics. The Caputo sense is used to describe fractional derivatives. One of the advantages of this technique is that there is neither need to compute the Lagrange multiplier by calculating the integration in recurrence relations or via taking the convolution theorem. Further, to decrease nonlinear computational terms, the Adomian polynomial is identified with the homotopy perturbation method (HPM). The proposed method is applied to some examples of linear and nonlinear fractional telegraph equations. The solutions obtained by the new computational technique indicate that this method is efficient and facilitates the process of solving time fractional differential equations

A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems

In this article, the Elzaki homotopy perturbation method is applied to solve fractional stiff systems. The Elzaki homotopy perturbation method (EHPM) is a combination of a modified Laplace integral transform called the Elzaki transform and the homotopy perturbation method. The proposed method is applied for some examples of linear and nonlinear fractional stiff systems. The results obtained by the current method were compared with the results obtained by the kernel Hilbert space KHSM method. The obtained result reveals that the Elzaki homotopy perturbation method is an effective and accurate technique to solve the systems of differential equations of fractional order

Reducing the environmental impact of surgery on a global scale: systematic review and co-prioritization with healthcare workers in 132 countries

Abstract Background Healthcare cannot achieve net-zero carbon without addressing operating theatres. The aim of this study was to prioritize feasible interventions to reduce the environmental impact of operating theatres. Methods This study adopted a four-phase Delphi consensus co-prioritization methodology. In phase 1, a systematic review of published interventions and global consultation of perioperative healthcare professionals were used to longlist interventions. In phase 2, iterative thematic analysis consolidated comparable interventions into a shortlist. In phase 3, the shortlist was co-prioritized based on patient and clinician views on acceptability, feasibility, and safety. In phase 4, ranked lists of interventions were presented by their relevance to high-income countries and low–middle-income countries. Results In phase 1, 43 interventions were identified, which had low uptake in practice according to 3042 professionals globally. In phase 2, a shortlist of 15 intervention domains was generated. In phase 3, interventions were deemed acceptable for more than 90 per cent of patients except for reducing general anaesthesia (84 per cent) and re-sterilization of ‘single-use’ consumables (86 per cent). In phase 4, the top three shortlisted interventions for high-income countries were: introducing recycling; reducing use of anaesthetic gases; and appropriate clinical waste processing. In phase 4, the top three shortlisted interventions for low–middle-income countries were: introducing reusable surgical devices; reducing use of consumables; and reducing the use of general anaesthesia. Conclusion This is a step toward environmentally sustainable operating environments with actionable interventions applicable to both high– and low–middle–income countries

Numerical Study for Fractional-Order Magnetohydrodynamic Boundary Layer Fluid Flow Over Stretching Sheet

In this letter, the MHD boundary layer fluid flow of non-Newtonian power-law on a stretching plate in the presence of a magnetic field has been investigated. The deductive group-theoretic technique is utilized to transform the proposed mathematical problem into a non-linear ODE. The solution of the converted differential equation is studied via the quartic B-spline method and the modified Laplace decomposition method.The approximate solutions are explained through tables and illustrativegraphs for different values of the fractional order derivatives implementingthe modified Laplace decomposition technique. We have used the Caputo sense of fractional derivative in this paper. A comparison of the obtained results reveals that both techniques are effective and reliable tools for the solutions of boundary value problems in fluid flow. It is found that when the pate and the fluid move in the same direction, the velocity profile declines and then improves at the end of the trend while the velocityprofile gradually increases when the pate is stationary. The effect of thefractional order derivative on the velocity profile is another novelty of thepresent work. Furthermore, the influence of the physical parameters andthe fractional order derivative on the stream function and the velocity profileis shown via tables and illustrative graphs

Optical soliton solutions for time-fractional Ginzburg–Landau equation by a modified sub-equation method

In the present work, we employed a novel modification of the Sardar sub-equation approach, leading to the successful derivation of several exact solutions for the time-fractional Ginzburg–Landau equation with Kerr law nonlinearity. These solutions encompass a range of categories, including singular, wave, bright, mixed dark–bright, and bell-shaped optical solutions. We demonstrate the dynamic behavior and physical significance of these optical solutions of the proposed model via several graphical simulations, including contour plots, three-dimensional (3D) graphs, and two-dimensional (2D) plots. Furthermore, we investigate the magnitude of the time-fractional Ginzburg–Landau equation by analyzing the influence of the conformable fractional order derivative and the impact of the time parameter on the newly constructed optical solutions. The proposed technique is a generalized form that incorporates various methods, including the improved Sardar sub-equation method, the modified Kudryashov method, the tanh-function extension method, and others. To the best of our knowledge, these solutions are novel and have not been reported in the literature. Moreover, the present method is efficient and robust for analyzing applied differential equations in plasma physics and nonlinear optics