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Keywords: Memory-dependent derivative
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Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow (2024) 34 (4): 1902–1926.
Published: 11 March 2024
... wave Piezoelectric material Voids Nonlocal elasticity Memory-dependent derivative Moore–Gibson–Thompson theory Surface waves propagate along the boundary of the medium and contain information about surface imperfections. Surface waves are commonly classified as Love, Stoneley and Rayleigh...
Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow (2024) 34 (1): 84–108.
Published: 05 October 2023
... Fractional derivative Photo-piezo-thermo-elastic Memory-dependent derivative Plasma wave Dual-phase lag CE = specific heat at a constant strain; τ* = photo-generated carrier lifetime; τq = phase lag of heat flux; κ...
Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow (2023) 33 (2): 912–937.
Published: 18 October 2022
... with the integral form of the derivative developed the concept of memory-dependent derivatives (MDDs). The first order of function f with the help of a kernel function can be expressed as an integral form of a common derivative. The kernel function κ(t − ζ) can be chosen arbitrarily...
Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow (2020) 30 (3): 1025–1046.
Published: 24 September 2019
...Mohamed I.A. Othman; Sudip Mondal Purpose The purpose of this paper is to introduce the phase-lag models (Lord-Shulman, dual-phase-lag and three-phase-lag) to study the effect of memory-dependent derivative and the influence of thermal loading due to laser pulse on the wave propagation...
