Jeffrey Lyons

Dr. Jeffrey Lyons is an Associate Professor in the Department of Mathematical Sciences at The Citadel, part of the Swain Family School of Science and Mathematics. He specializes in fractional calculus, differential equations, and boundary value problems. His teaching spans from foundational courses like College Algebra and Calculus to advanced topics such as Applied Engineering Mathematics and Differential Equations.

Dr. Lyons holds a Ph.D. in Mathematics (2011) from Baylor University, with prior positions at Trinity University, University of Hawaii, and Nova Southeastern University. His research focuses on theoretical and applied aspects of fractional boundary value problems, including fixed point theorems and solution differentiation under varying boundary conditions. Notable awards include the 2011 Chancellor’s Award for Excellence in Teaching and several research grants supporting collaborative work across institutions.

His recent publications explore topics like positive solutions for fractional BVPs, Caputo derivatives, and dynamic equations on time scales. These contributions highlight advancements in analytical methods and their applications in mathematical modeling. Dr. Lyons actively participates in academic communities, presenting at international conferences such as the 10th AIMS Conference in Madrid, Spain.