This paper focusses on the nonlinear fractional Kadomtsev–Petviashvili (FKP) equation in space–time, employing the conformable fractional derivative (CFD) approach. The main objective of this paper is to examine the application of the (G’/G)-expansion method in order to find analytical solutions to the FKP equation. The (G’/G)-expansion method is a powerful tool for constructing traveling wave solutions of nonlinear evolution equations. However, its application to the FKP equation remains relatively unexplored. By employing traveling wave transformation, the FKP equation was transformed into an ordinary differential equation (ODE) to acquire exact wave solutions. A range of exact analytical solutions for the FKP equation is obtained. Graphical illustrations are included to elucidate the physical characteristics of the acquired solutions. To demonstrate the impact of the fractional operator on results, the acquired solutions are exhibited for different values of the fractional order α, with a comparison to their corresponding exact solutions when taking the conventional scenario where α equals 1. The results indicate that the (G’/G)-expansion method serves as an efficient method and dependable in solving the nonlinear FKP equation.

Diarrheal disease remains a significant cause of preventable morbidity and mortality in the pediatric population, particularly among children below five years of age. Although the occurrence of diarrheal episodes is on the decline, its impact continues to escalate at a concerning rate among children under the age of five, especially in developing countries. The objective of this paper is to investigate the factors associated with diarrhea in Yemeni children younger than five years, drawing on data from the latest edition of the Multiple Indicator Cluster Survey (MICS) Yemen conducted in 2022–2023. To identify factors associated with the prevalence of childhood diarrhea, bivariate analysis and multivariable logistic regression were utilized. The findings of this study suggest that age group 6–23, unimproved sanitation, and low-income households are associated with high risk of diarrhea in children under five years of age in Yemen. The study contributes additional evidence regarding factors that should be prioritized in public health strategies geared towards reducing diarrheal prevalence among Yemeni children.

The Semantic Web enhances data interoperability and enables intelligent information retrieval through structured data representation. However, challenges remain in achieving high precision in semantic search. This paper uses the Continuous Bag of Words (CBOW) model to enhance semantic search precision. By generating rich word embeddings, CBOW enables a better understanding of contextual relationships among terms within semantic queries. Our approach has been evaluated using the websites intended to be used as a sample for testing the efficiency of semantic information retrieval, demonstrating significant improvements in search precision compared to traditional methods. The findings indicate that integrating CBOW into semantic search frameworks can lead to more relevant and accurate search results, paving the way for future advancements in Semantic Web technologies.

Journal of Applied Mathematics and Computational Mechanics, Prace Naukowe Instytutu Matematyki i Informatyki, Politechnika Częstochowska, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology