Fractional order theory of thermoelasticity

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The Effects of Fractional Time Derivatives in Porothermoelastic Materials Using Finite Element Method (2021, methodology): “[32] depicted a new model by using the form of the law of thermal conduction.”
Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer (2019, methodology): “The fractional order Cattaneo type heat conduction law [33,37] for local thermoelastic solids can be obtained by substituting ε = 0 in the above generalization and the Cattaneo type heat conduction law can be recovered by puttingm = 1 and ε = 0 in (18).”
Fractional Order Theory of Thermoelastic Diffusion (2011, background): “[ 34 ] introduced a new model of thermoelasticity using fractional calculus, proved a uniqueness theorem, and derived a reciprocity relation and a variational principle.”
A novel generalized thermoelasticity model based on memory-dependent derivative (2014, methodology): “These newly proposed fractional heat conduction (thermoelasticity) models by Sherief et al. (2010), Youssef (2010) and Ezzat (2011) may be viewed as extensions of CV (LS) model with memory-dependent effect.”
Existence results for one‐dimensional fractional equations (2014, background): “MOLICA BISCI Engineering applications of fractional concepts are connected with viscoelastic models, stochastic dynamics and with recently developed fractional-order thermoelasticity [7].”