Abstract: A simple mathematical model for the behaviour of how vehicles follow each other along a looped stretch of road is described. The resulting coupled first order differential equations are ...

Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

Abstract: This research intends to create a novel approach for solving fractional differential equations (FDEs) of both linear and nonlinear types utilizing the fractional shifted Legendre neural ...

The nonlinear Riccati differential equation, since its enunciation by Jacopo Riccati in 1724, has become a legendary equation. Despite a 300-year search for a solution, it has not been possible to ...