Solving Fractional Differential Equations with FractionalDiffEq.jl

Learn how to solve fractional differential equations using FractionalDiffEq.jl in this 33-minute conference talk from JuliaCon 2024. Explore the evolution of fractional calculus from its conceptual origins with Leibniz and L'Hôpital to its modern applications in viscoelasticity, acoustics, rheology, and polymeric chemistry. Discover how this innovative Julia package within the SciML ecosystem addresses the gap in numerical software tools for fractional differential equations (FDEs). Master the implementation of FractionalDiffEq.jl through practical examples, including defining FDEProblems for both ordinary and delay differential equations. Gain insights into the package's design pattern, which follows DifferentialEquations.jl, and understand its future development roadmap focusing on performance improvements, API refinement, documentation enhancement, and deeper integration with the SciML ecosystem.