New Trends in the Applications of Differential Equations in Sciences

This book gathers selected works covering research in mathematics on new methods and techniques for the applications of differential equations, presented at the 12th International Conference “New Trends in the Applications of Differential Equations in Sciences” (NTADES), held in Saints Constantine and Helena, Bulgaria, from September 1–4, 2025. The book is organized around eight key themes, with applications in mathematical physics, mathematical biology, financial mathematics, mechanics, fractional analysis, numerical methods, big data and computer science, and artificial intelligence and neural networks. By showcasing fundamental research in both theoretical and applied mathematics, this book aims to promote new tools and approaches that can effectively address real-life challenges through the application of differential equations.