Hall current effect in double poro-thermoelastic material with fractional-order Moore–Gibson–Thompson heat equation subjected to Eringen's nonlocal theory

Nonlocal fiber-reinforced double porous material structure under fractional-order heat and mass transfer

“…By using the Caputo fractional derivative and a time-dependent heat source, Bachher et al (2015) were able to estimate the thermal behavior of an infinite medium with voids. Recently, Gupta et al (2022a) have studied the thermo-mechanical interaction in a one-dimensional infinite medium composed of double porothermoelastic material with voids under fractional-order Moore–Gibson–Thompson thermoelasticity theory.…”

“…An unbounded fiber-reinforced medium was considered by Horrigue and Abbas (2020) to investigate the effect of fractional order thermoelasticity theory. Gupta et al (2022a) have studied the impact of hall current in an infinite nonlocal thermoelastic medium comprising double porosity. Recently, Said et al (2022) have exhibited the thermo-mechanical interaction in a nonlocal fiber-reinforced half-space in the context of fractional-order heat transfer with multiphase-lags.…”

Photothermal excitation of an initially stressed nonlocal semiconducting double porous thermoelastic material under fractional order triple-phase-lag theory

“…Recently, Sarkar et al (2020) have worked on TE interaction problem in a semiconductor based on Lord-Shulman theory with nonlocal elasticity effect. Eringen's nonlocal theory has now become one of the foremost research topics whose benefits are undeniable (Gupta et al, 2022c(Gupta et al, , 2021(Gupta et al, , 2022b(Gupta et al, , 2022aKumar et al, 2020;Sheoran et al, 2021;Tong et al, 2020).…”

Thermoelastic analysis of semiconducting solid sphere based on modified Moore-Gibson-Thompson heat conduction with Hall Effect

“…x , yields Kaur et al [16] examined the semi-conducting solid cylinder exposed to exponential laser pulse with MGTPT and Hall current effect. In addition to these, Gupta et al [17][18][19], Craciun et al [20,21], Kaur and Singh [22,23], Kaur et al [24], Tiwari and Mukhopadhyay [25], Kaur et al [26], Tiwari et al [27,28], Marin et al [29], Gupta et al [30,31], Kumar et al [32] also done studies on the Hall current effect and other theories of thermoelasticity. The literature survey revealed, however, that no research had been done on the transient examination of a semiconductor sphere exposed to ultrashort pulsed laser heating and photogenerated plasma under the Hall Effect.…”