Difference equations, serving as the discrete analogue to differential equations, have long been a linchpin in the study of dynamic systems. These equations define sequences recursively, and their ...

The quasi-geostrophic equations are a cornerstone in the mathematical modelling of large-scale geophysical flows, where the balance between pressure gradients and the Coriolis effect is paramount.

Description: First order quasi-linear equations and their application to physical and social sciences; the Cauchy-Kovalevsky theorem; characteristics, classification, and canonical form of linear ...

This article analyzes the existence and approximation of solutions to initial value problems for nonlinear fractional differential equations of arbitrary order. Several new approaches are furnished in ...

Abstract. Weakly linear systems of fuzzy relation inequalities and equations have recently emerged from research in the theory of fuzzy automata. From the general aspect of the theory of fuzzy ...

Momentum, Heat, and Mass Transfer derivations and applications. Topics include Navier-Stokes equations and their application for solution of fluid mechanic problems in the inviscid fluid, creeping ...