This group primarily focuses on a class of differential equations that arise in various real-world phenomena, including mathematical physics, mathematical biology, image processing, artificial intelligence, and computational fluid dynamics.

• studying the qualitative and quantitative properties of nonlinear and nonlocal Differential equations via analytical methods and numerical techniques.
• applications extending to fluid dynamics, quantum computing, neural networks, and deep learning, where PDEs help model diffusion processes and optimize training dynamics.
• This field bridges theoretical and computational approaches, driving advancements in science, engineering, and AI.

Faculty Members of the group: