Memory in time. Nonlocality in space.
Fractional operators extend familiar simulation models in two complementary directions. Both recover classical behavior at their integer-order limits, providing a clear bridge from established CAE to richer physics.
Choose a learning pathThe system remembers.
Creep, relaxation, anomalous heat flow, and thermal stress depend on prior states.
Small-scale structure shapes large-scale behavior.
Long-range interactions, heavy-tailed jumps, and spatial coupling shape the response.
Two ways fractional operators generalize classical simulations.
Choose a learning path based on whether the physics depends on history through time or nonlocal interactions across space.
Time-fractional operators
Explore viscoelastic creep and relaxation, anomalous heat diffusion, and fractional thermoelasticity through interactive comparisons.
Space-fractional operators
A future application-led guide to nonlocal multiscale mechanics, Lévy transport, superdiffusion, and long-range spatial interactions.