Fuzzy differential equations (FDEs) extend classical differential equations by incorporating uncertainty through fuzzy numbers. This mathematical framework is particularly valuable for modelling ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

An introduction to linear and partial differential equations. Standard methods of solution, applications to physical and engineering problems, linear equations with constant coefficients, basic ...

If today's college students could find a way to get their hands on a copy of Facebook's latest neural network, they could cheat all the way through Calc 3. They could even solve the differential ...

Abstract: This paper presents a novel application of neural Controlled Differential Equations (Neural-CDEs) in modeling disease progression using multimodal data. Two deep learning approaches - Long ...