Fractional Fowler–Nordheim law for field emission from rough surface with nonparabolic energy dispersion

M Zubair, YS Ang, LK Ang - IEEE Transactions on Electron …, 2018 - ieeexplore.ieee.org
The theories of field electron emission from perfectly planar and smooth canonical surfaces
are well understood, but they are not suitable for describing emission from rough, irregular …

Transitional behaviors of fractional dimensional models of field-induced and space-charge limited emission from rough surfaces

M Zubair, N Raheem, MQ Mehmood, YS Ang… - Physics of …, 2023 - pubs.aip.org
Electron emission is an important physical phenomenon in both vacuum and solid-state
devices. Previously, the effects of surface roughness or interface irregularity have been …

A modified fractional-order generalized piezoelectric thermoelasticity model with variable thermal conductivity

H Guo, C Li, X Tian - Journal of Thermal Stresses, 2018 - Taylor & Francis
The piezoelectric materials stand as a class of smart structures which are widely used as a
class of smart structures which are widely used as sensors and actuators in control system …

Glass melting inside electromagnetic cold crucible using induction skull melting technology

R Chen, Y Yang, H Fang, Y Yang, Q Wang… - Applied Thermal …, 2017 - Elsevier
Induction melting high purity glass is a new application of induction skull melting (ISM)
technology. In this paper, a simplified 2-D mathematical model was established by analyzing …

Existence and nonexistence of positive solutions of a fractional thermostat model with a parameter

C Shen, H Zhou, L Yang - Mathematical Methods in the …, 2016 - Wiley Online Library
In this paper, we investigate positive solutions for boundary value problem of a fractional
thermostat model with a parameter. Under different conditions of the function f, existence …

Transient responses of a hollow cylinder under thermal and chemical shock based on generalized diffusion-thermoelasticity with memory-dependent derivative

C Li, H Guo, X Tian - Journal of Thermal Stresses, 2019 - Taylor & Francis
The accurate description of the interactions of temperature, concentration and strain fields is
of great importance for the fabrication of micro/nano-electromechanical devices. This article …

Solving fractional differential equations using collocation method based on hybrid of block-pulse functions and Taylor polynomials

Y Lu, Y Tang - Turkish Journal of Mathematics, 2021 - journals.tubitak.gov.tr
In this paper, a novel approach is proposed to solve fractional differential equations (FDEs)
based on hybrid functions. The hybrid functions consist of block-pulse functions and Taylor …

Investigation on the electromagneto-thermoelastic coupling behaviors of a rotating hollow cylinder with memory-dependent derivative

P Xie, T He - Mechanics Based Design of Structures and Machines, 2023 - Taylor & Francis
Compared with the fractional order generalized themoelastic theory, the generalized
thermoelastic theory based on the memory-dependent derivative has following significant …

PEC, PMC and PEMC interfaces in fractional space

M Omar, G Ali, MJ Mughal - 2018 International Conference on …, 2018 - ieeexplore.ieee.org
In this paper, reflection coefficients of perfect electric conductor (PEC), perfect magnetic
conductor (PMC) and perfect electromagnetic conductor (PEMC) interfaces in fractional …