https://ojs.acad-pub.com/index.php/ADECP <p><em>The Advances in Differential Equations and Control Processes</em> (ADECP) is an esteemed international journal indexed in the&nbsp;<strong>Emerging Sources Citation Index (ESCI)</strong>. It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.</p> Academic Publishing Pte. Ltd. en-US Advances in Differential Equations and Control Processes 0974-3243 https://ojs.acad-pub.com/index.php/ADECP/article/view/2589 <p>Mathematics serves as the fundamental basis for innovation, propelling technological advancement. In the forthcoming decade, the convergence of differential equations and control processes is poised to redefine the frontiers of scientific exploration. The integration of artificial intelligence and machine learning with differential equations is set to inaugurate a new era of problem-solving, enabling the extraction of latent physical insights and accelerating solution discovery. Multi-scale modeling, with its capacity to span disparate physical domains, has the potential to resolve long-standing puzzles in fields such as fluid mechanics and nanoscience. Furthermore, the integration of fractal geometry with differential equations holds the promise of novel perspectives for understanding and optimizing complex systems, ranging from urban landscapes to turbulent flows. The integration of artificial intelligence (AI) with control innovations is poised to play a pivotal role in the development of next-generation technologies, with the potential to transform diverse sectors such as medicine, communication, and autonomous systems. This paper explores these developments, highlighting their potential impacts and emphasizing the necessity for interdisciplinary collaboration to leverage their full potential.</p> Ji-Huan He Copyright (c) 2025 Ji-Huan He https://creativecommons.org/licenses/by/4.0/ 2025-01-22 2025-01-22 32 1 2589 2589 10.59400/adecp2589