Professor Ahmad’s research focuses on nonlinear partial differential equations and dynamical systems involving nonlocal operators (e.g. the fractional Laplacian and fractional time derivatives) motivated by real-world problems in mathematical biology, mathematical physics, and material science. She is particularly interested in the qualitative behavior of solutions to these systems, including the study of singularities and blow-up phenomena in nonlinear systems, global existence and large-time behavior of nonlinear evolution equations, and optimal control theory. Her work has applications in epidemiology and the study of noncommunicable diseases, with future directions including cellular-level studies. Her current research interests include nonlocal and nonlinear models in biology and physics, the study of fractional physics-informed neural networks, and inverse problems. Email
Interested in working with
our renowned faculty?
Fill out the below form and we will get back to you.