Nonclassical continuum theories of elasticity (NCTE) have been extensively used in the
mechanical analyses of small-sized structures due to their effective and tremendous ability …

The mechanical behaviors of glassy polymers, including viscoelastic, softening, and re-
hardening stages, exhibit high temperature-sensitivity, which makes it a challenge to …

Fractional differential viscoelastic models can describe complex material behaviours and fit
experimental data well; however, the physical significance of model parameters is difficult to …

Heat exchangers are commonly used in various industries. A spiral-plate heat exchanger
with two fluids is a compact plant that only requires a small space and is excellent in high …

Due to the coupled phonon-phason coupling and nonlocal effects, dynamic behaviors of
quasicrystal nanostructures are highly complex. Mechanics investigations have mainly …

Nonlocal interactions are intrinsic to multiscale heterogeneous solids. In the most general
case, nonlocal interactions exhibit a position-dependent strength whose spatial distribution …

This paper presents general outlines of the research conducted in the applied mathematics
field,− the theory of inverse problems, specifically utilized for the thermoelastic stress …

The problem of constructing eigenfunctions of a one-dimensional thermoelastic operator in
Cartesian, cylindrical, and spherical coordinate systems is considered. The corresponding …

This paper studies operator and fractional order nonlinear robust control for a spiral counter-
flow heat exchanger with uncertainties and disturbances. First, preliminary concepts are …

THERMAL BEHAVIOUR OF A CIRCULAR PLATE UNDER CAPUTO-FABRIZIO FRACTIONAL
IMPACT WITH SECTIONAL HEATING Page 1 Advances in Differential Equations and Control …