Fadime Dal

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About

Fadime Dal is a mathematician whose research focuses on the development and application of analytical and numerical methods for solving complex differential equations, particularly those involving fractional-order derivatives. Her work centers on advancing the homotopy perturbation method to tackle nonlinear fractional partial differential equations, a challenging area with significant implications for modeling anomalous diffusion, viscoelasticity, and other non-local phenomena. In her most-cited paper, she proposes a novel numerical scheme that combines the homotopy perturbation technique with Caputo fractional derivatives, providing approximate solutions that are both accurate and computationally efficient. While her citation count is currently modest, reflecting the recent publication of her key work, her contributions are positioned to influence the growing field of fractional calculus and its applications in physics and engineering. Dal’s research demonstrates a commitment to bridging theoretical mathematics with practical problem-solving, offering tools that can be readily adopted by other researchers working on nonlinear systems. Her work represents a promising step forward in making fractional-order models more accessible and solvable for real-world applications.