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Fractional differential equations can model various complex problems in physics and engineering, but there is no universal method to solve fractional models precisely. This paper offers a new hope for ...

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...

It is widely appreciated that turbulence is one of the main challenges of modern theoretical physics. Whereas up to now, most work in this area has been dedicated to the study of Navier–Stokes flows, ...

For the modeling and numerical approximation of problems with time-dependent Dirichlet boundary conditions, one can call on several consistent and inconsistent approaches. We show that spatially ...

The intracellular environment in which biological reactions occur is crowded with macromolecules and subdivided into microenvironments that differ in both physical properties and chemical composition.

This is a preview. Log in through your library . Abstract Understanding how climate can interact with other factors in determining patterns of species abundance is a persistent challenge in ecology.