A Proposal to Include the Image of the Saudi Personality in Middle School English Books in Light of Saudi Arabia’s Vision 2030

The study aimed to identify a picture of the Saudi personality in light of Saudi Arabia’s vision 2030 to reveal the level of inclusion of the Saudi profile in light of Saudi Arabia’s vision 2030 in middle school English books and then to present a proposed vision to include a picture of the Saudi character in light of Saudi Arabia’s vision 2030 in middle school English books. The study followed the descriptive approach to content analysis, the content analysis card was used as a study tool, and the study sample was made up of all six middle school English books. The study found the following results: The identification of the Saudi personality in the light of Saudi Arabia’s vision 2030 was made up of five dimensions: (religious dimension, after the kingdom’s flag and logo, cultural dimension, social dimension, economic dimension). The most available element in middle-grade English books was “national dress” within the cultural dimension (26.39%) of the total number of lessons

A Numerical Confirmation of a Fractional SEITR for Influenza Model Efficiency

The main idea of this study is to reduce the number of susceptible to infections so that ill patients can receive prompt hospitalization. Fractional SEITR was introduced for this purpose. Both endemic and disease-free equilibrium’s’ durability was examined. The fundamental reproduction number of the fractional SEITR model was determined using the next-generation matrix method. Our analytical results were supported by numerical models. Here, a graphical representation of the fractional order model is presented to validate the conclusion through numerical simulation. We have come to the conclusion that the fractional order model is more precise and provides more information about the true data of disease dynamics

Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives

Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts. By taking into account the Caputo and Caputo-Fabrizio derivatives, a frictional model of visceral leishmaniosis was mathematically examined based on real data from Gedaref State, Sudan. The stability analysis for Caputo and Caputo-Fabrizio derivatives is analyzed. The suggested ordinary and fractional differential mathematical models are then simulated numerically. Using the Adams-Bashforth method, numerical simulations are conducted. The results demonstrate that the Caputo-Fabrizio derivative yields more precise solutions for fractional differential equations

A Symmetry Chaotic Model with Fractional Derivative Order via Two Different Methods

In this article, we have investigated solutions to a symmetry chaotic system with fractional derivative order using two different methods—the numerical scheme for the ABC fractional derivative, and the Laplace decomposition method, with help from the MATLAB and Mathematica platforms. We have explored progressive and efficient solutions to the chaotic model through the successful implementation of two mathematical methods. For the phase portrait of the model, the profiles of chaos are plotted by assigning values to the attached parameters. Hence, the offered techniques are relevant for advanced studies on other models. We believe that the unique techniques that have been proposed in this study will be applied in the future to build and simulate a wide range of fractional models, which can be used to address more challenging physics and engineering problems

Exploring analytical results for (2+1) dimensional breaking soliton equation and stochastic fractional Broer-Kaup system

This paper introduces a pioneering exploration of the stochastic (2+1) dimensional breaking soliton equation (SBSE) and the stochastic fractional Broer-Kaup system (SFBK), employing the first integral method to uncover explicit solutions, including trigonometric, exponential, hyperbolic, and solitary wave solutions. Despite the extensive application of the Broer-Kaup model in tsunami wave analysis and plasma physics, existing literature has largely overlooked the complexity introduced by stochastic elements and fractional dimensions. Our study fills this critical gap by extending the traditional Broer-Kaup equations through the lens of stochastic forces, thereby offering a more comprehensive framework for analyzing hydrodynamic wave models. The novelty of our approach lies in the detailed investigation of the SBSE and SFBK equations, providing new insights into the behavior of shallow water waves under the influence of randomness. This work not only advances theoretical understanding but also enhances practical analysis capabilities by illustrating the effects of noise on wave propagation. Utilizing MATLAB for visual representation, we demonstrate the efficiency and flexibility of our method in addressing these sophisticated physical processes. The analytical solutions derived here mark a significant departure from previous findings, contributing novel perspectives to the field and paving the way for future research into complex wave dynamics

General Methods to Synchronize Fractional Discrete Reaction–Diffusion Systems Applied to the Glycolysis Model

Because they are useful for both enabling numerical simulations and containing well-defined physical phenomena, discrete fractional reaction–diffusion models have attracted a great deal of interest from academics. Within the family of fractional reaction–diffusion models, a discrete form is examined in detail in this study. Furthermore, we investigate the complex synchronization dynamics of a suggested discrete master–slave reaction–diffusion system using the accuracy of linear control techniques combined with a fractional discrete Lyapunov approach. This study’s deviation from the behavior of equivalents with integer orders makes it very fascinating. Like the non-local nature inherent in Caputo fractional derivatives, it creates a memory Lyapunov function that is closely linked to the historical background of the system. The investigation provides a strong basis to the theoretical results