Dr. Mubashara Wali

Basic Information

Brief Statement of research work

My research lies at the intersection of Fractional Calculus and Numerical Analysis, with a primary focus on developing stable, highly accurate computational algorithms to solve and analyze complex fractional differential equations. By leveraging non-integer order calculus, my work captures the inherent memory effects and hereditary properties of advanced dynamical systems, which I validate through rigorous stability analysis and robust numerical solutions. While my methodology is broadly applicable to complex differential systems, I apply these specialized mathematical frameworks to Mathematical Biology, investigating topics such as compartmental epidemic models to provide deeper, computationally verified insights into population and transmission dynamics.