On the Reynolds Equation and the Load Problem in Lubrication: Literature Review and Mathematical Modelling -- On Dynamic Interactions Between Body Motion and Fluid Motion -- Certain Aspects of Problems with Non Homogenous Reactions -- A Survey on the Melnikov Theory for Implicit Ordinary Differential Equations with Applications to RLC Circuits -- Numerical solution of space-time-fractional reaction-diffusion equations via the Caputo and Riesz Derivatives -- An Extended Langhaar's Solution for Two-dimensional Entry Micro-channel Flows with High-order Slip.

This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems.