We studied the effects of non-Markovian power-law voltage dependent conductances on the generation of action potentials and spiking patterns in a Hodgkin-Huxley model. To implement slow-adapting power-law dynamics of the gating variables of the potassium, n, and sodium, m and h, conductances we used fractional derivatives of order η≤1. The fractional derivatives were used to solve the kinetic e...

In the complex engineering structures the use of bonded joints are often preferred to more traditional methods of fabrication such as bolts and welds since they are lighter and spread load more evenly. For determination the durability of such structures it is necessary to know well the stress field around stress concentrators. At the free edge of bonded joints between the adhesive and the adher...

In this paper we present an elastic-plastic analysis of the small-scale yielding crack-tip fields for pressure-sensitibe materials. Mode 1 loading and plane-strain conditions are assumed. The yield criterion is chosen to be a linear combination of the effective stress and the hydrostatic stress. For power-law hardening materials. our elastic-plastic finite element analysis shows that HRRtype cr...

We consider the shot noise process, whose associated impulse response is a decaying power-law kernel of the form . We show that this power-law Poisson model gives rise to a process that, at each time instant, is an -stable random variable, if . We show that although the process is not -stable, pairs of its samples become jointly -stable as the distance between them tends to infinity. It is know...

Abstract Models of various physical, biological, and artificial phenomena follow a power law over multiple magnitudes. This article presents modified Pareto model with an upside-down shape adjustable right tail. The moments, quantiles, failure rate, mean residual life, quantile life functions are examined. In addition, some stochastic ordering characteristics the proposed investigated. estimati...