Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer

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Fractional Order Theory of Thermoelastic Diffusion (2011, methodology): “Ezzat [36, 37] established a new model of fractional heat conduction equation by using the new Taylor series expansion of time-fractional order which developed by Jumarie [38].”
Size-dependent generalized thermoelasticity using Eringen's nonlocal model (2015, background): “Recently, inspired by fractional calculus increasing investigation, especially, its successful application in anomalous diffusion, generalized thermoelasticity models have been further extended into fractional ones (Povstenko, 2004; Youssef, 2010; Ezzat, 2011; Yu et al., 2013) to express memory-depe”