This paper concerns the dissipativity and stability of the Caputo nonlinear fractional functional differential equations (F-FDEs) with order 0 < α < 1. The fractional generalization of the Halanay-type inequality is proposed, which plays a central role in studies of stability and dissipativity of F-FDEs. Then the dissipativity and the absorbing set are derived under almost the same assumptions ...

In this paper we developed accurate finite element methods for solving 3-D Poisson-Nernst-Planck (PNP) equations with singular permanent charges for electrodiffusion in solvated biomolecular systems. The electrostatic Poisson equation was defined in the biomolecules and in the solvent, while the Nernst-Planck equation was defined only in the solvent. We applied a stable regularization scheme to...

Surface tension is a meaningful parameter influencing boiling and condensation in macroscopic scale, confined spaces, or for nanofluids; it further affects with surfactants. Surface, interfacial, an important property the research into increasing heat transfer, enhancing efficiency of photovoltaic systems, improving engine operation, forming drugs polymers. It often determined using axisymmetri...

Many diseases are caused by viruses of different symmetrical shapes. Rotavirus particles approximately 75 nm in diameter. They have icosahedral symmetry and that possess two concentric protein shells, or capsids. In this research, using a piecewise derivative framework with singular non-singular kernels, we investigate the evolution rotavirus regard to effect vaccination. For considered model, ...

Transient stability-constrained optimal power flow (TSCOPF) models comprehensively analyze the security and economic operation of systems. However, they require a high computational effort can suffer from convergence problems when applied to large This study analyzes performance eleven numerical integration algorithms ordinary differential equations that represent system dynamics in TSCOPF mode...

The presented communication provides the analysis of entropy generation and heat transport rate in peristalsis hybrid nanofluid induced by metachronal ciliary beating under magnetic environment for sufficiently large Reynolds number. Nanoparticles Cu Al 2 O 3 are suspended water. Features their structures determined using long-wavelength approximation with zero Adams Bashforth method has been a...

Boundary Layer Flow past a stretching surface with constant wall temperature, of a nanofluid is studied for heat transfer characteristics. The system of partial differential equations describing such a flow is subjected to similarity transformations gives rise to a boundary value problem involving a system of ordinary differential equations. This system is solved by a shooting method. Effect of...

We develop numerical methods for performing efficient Brownian dynamics of col-loidal suspensions confined to remain in the vicinity of a no-slip wall by gravity or active flows. We present a stochastic Adams-Bashforth integrator for the Brown-ian dynamic equations, which is second-order accurate deterministically and uses a random finite difference to capture the stochastic drift proportional ...