This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

In this investigation, a computational analysis is conducted to study a magneto-thermoelastic
problem for an isotropic perfectly conducting half-space medium. The medium is subjected …

The objective of this work is to introduce a new system of differential equations describing
the nonlocal thermoelasticity theory with higher time derivatives and two‐phase lags. In …

This study proposes a new fractional model to show how heat transfers through
nanomaterials by considering the thermoelastic vibration of one-dimensional nanostructures …

The current work deals with the study of a thermo-piezoelectric modified model in the context
of generalized heat conduction with a memory-dependent derivative. The investigations of …

The purpose of this study is to investigate vibrations in 2D functionally graded nanobeams
(FGN) with memory-dependent derivatives. A sinusoidal variation of temperature is …

In this paper, the thermoelastic vibrations of a functionally graded thermo-piezoelectric rod of
limited length are considered using the generalized theory of thermoelasticity. Both ends of …

This problem deals with the determination of thermo-elastic interaction due to step input of
temperature on the boundaries of a functionally graded orthotropic hollow sphere in the …

In this work, a new mathematical model of heat conduction for an isotropic generalized
thermoelasticity with a three-phase lag is derived using the methodology of fractional …

The present work is concerned with the solution of a problem on fractional order theory of
thermoelasticity for a functional graded material. The governing equations of fractional order …