This work deals with a new finite time stability (FTS) of neutral fractional order systems delay (NFOTSs). In light this, FTSs NFOTSs are demonstrated in the literature using Gronwall inequality. The innovative aspect our proposed study is application fixed point theory to show FTS NFOTSs. Finally, two examples, theoretical contributions confirmed and substantiated.

A parameter optimized approach for reducing the numerical dispersion of the 3-D hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) is presented in this letter. By adding a parameter into the HIE-FDTD formulas, the error of the numerical phase velocity can be controlled, causing the numerical dispersion to decrease significantly. The numerical stability and dispersion relation are...

The finite-difference time-domain algorithm is a popular numerical method for solving electromagnetic problems. FDTD simulations can suffer from instability due to the explicit nature of the method. Enforcement of stability can be particularly challenging in scenarios where a setup is composed of multiple components, such as differently refined FDTD grids, macromodels, advanced boundary conditi...

Control theory is often interested in studying stability and stabilization of dynamical systems in an infinite time horizon. However, in many practical situations, focusing on the system behavior in a finite time interval is more important than requiring the system to reach a given equilibrium. Analysis on finite time horizon can be useful, for example, to study state and output transients due ...

In this paper, we investigate the robust fault-tolerant finitetime stabilization problem of switched system with asynchronous switching. The asynchronous switching idea originates from the fact that switching instants of the controllers lag behind or exceed those of subsystems. The attention is focused on designing a robust fault-tolerant asynchronously switched controller that guarantees the f...

Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where . Stability and convergence in  norm are discussed through energy method. Numerical examples are provided to confirm the theoretical prediction ...