We study generalized Cattaneo (telegrapher's) equations involving memory effects
introduced by smearing the time derivatives. Consistency conditions where the smearing …

In the present analysis, the bio-heat equation has been studied in the context of memory
responses which is defined in the form of convolution having kernels as power functions …

The paper is devoted to study the frequency shift in the solution of the generalized telegraph
equation with a moving point-wise harmonic source. This equation contains the nonlocality …

In this paper, we propose a method to model radiofrequency electrosurgery to capture the
phenomena at higher temperatures and present the methods for parameter estimation …

We present a study of the causal response of non-Fourier heat conduction by introducing a
dispersive generalized thermal susceptibility and show it obeys Kramers-Kronig relations. In …

The time-fractional telegraph equation with moving time-harmonic source is considered on a
real line. We investigate two characteristic versions of this equation: the “wave-type” with the …

A theoretical model for skin thermo-viscoelastic behavior is proposed based on the non-
Fourier bioheat transfer theory in this article. Skin tissue is regarded as a multilayer structure …

We present a novel thermodynamic parameter estimation framework for energy-based
surgery on live tissue, with direct applications to tissue characterization during …

In this study, we considered time-fractional nonlinear telegraph equations (TFNLTEs). For
solving the TFNLTEs, we deployed a method known as the Multistep Modified Reduced …

Nonlinear fraction-order finite-speed refined Lord–Shulman (LS) thermoelastic wave
propagation, reflection, and mixing analyses are accomplished here for rotating annular …