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memory-dependent derivative

Description: A memory-dependent derivative is a mathematical derivative operator whose value depends on a function’s history, used in modeling processes with memory.
OpenAlex ID: keywords/memory-dependent-derivative
Surpassing the fractional derivative: Concept of the memory-dependent derivative
2011 · Jin-Liang Wang, Hui-Feng Li · Computers & Mathematics with Applications · 459
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A novel generalized thermoelasticity model based on memory-dependent derivative
2014 · Ya-Jun Yu, Wei Hu, et al. · International Journal of Engineering Science · 295
Generalized thermo-viscoelasticity with memory-dependent derivatives
2014 · M.A. Ezzat, A.S. El-Karamany, et al. · International Journal of Mechanical Sciences · 214
Size-dependent generalized thermoelasticity using Eringen's nonlocal model
2014 · Y. Jun Yu, Xiao-Geng Tian, et al. · European Journal of Mechanics - A/Solids · 150
Generalized thermoelasticity with memory-dependent derivatives involving two temperatures
2015 · Magdy A. Ezzat, Ahmed S. El-Karamany, et al. · Mechanics of Advanced Materials and Structures · 141
The influence of a non-local Moore–Gibson–Thompson heat transfer model on an underlying thermoelastic material under the model of memory-dependent derivatives
2023 · Ahmed E. Abouelregal, Marin Marin, et al. · Continuum Mechanics and Thermodynamics · 122
The theory of thermoelasticity with a memory-dependent dynamic response for a thermo-piezoelectric functionally graded rotating rod
2023 · Ahmed E. Abouelregal, S. S. Askar, et al. · Scientific Reports · 115
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Thermoelastic diffusion with memory-dependent derivative
2016 · Ahmed S. El-Karamany, Magdy A. Ezzat · Journal of Thermal Stresses · 114
Modeling of memory-dependent derivative in generalized thermoelasticity
2016 · M. A. Ezzat, A. S. El-Karamany, et al. · The European Physical Journal Plus · 108
On dual-phase-lag thermoelasticity theory with memory-dependent derivative
2016 · Magdy A. Ezzat, Ahmed S. El-Karamany, et al. · Mechanics of Advanced Materials and Structures · 102
Memory-dependent derivatives for photothermal semiconducting medium in generalized thermoelasticity with two-temperature
2017 · K. Lotfy, N. Sarkar · Mechanics of Time-Dependent Materials · 100
Electro-thermoelasticity theory with memory-dependent derivative heat transfer
2015 · Magdy A. Ezzat, Ahmed S. El Karamany, et al. · International Journal of Engineering Science · 97
Memory-dependent derivatives theory of thermo-viscoelasticity involving two-temperature
2015 · M. A. Ezzat, A. A. El-Bary · Journal of Mechanical Science and Technology · 88
A novel magneto-thermoelasticity theory with memory-dependent derivative
2015 · Magdy A. Ezzat, Ahmed S. El-Karamany, et al. · Journal of Electromagnetic Waves and Applications · 86
Memory response in a nonlocal micropolar double porous thermoelastic medium with variable conductivity under Moore-Gibson-Thompson thermoelasticity theory
2022 · Shishir Gupta, Rachaita Dutta, et al. · Journal of Ocean Engineering and Science · 69
Vibrational analysis of size-dependent thermo-piezo-photo-electric semiconductor medium under memory-dependent Moore–Gibson–Thompson photo-thermoelasticity theory
2023 · Vipin Gupta, M. S. Barak, et al. · Mechanics of Advanced Materials and Structures · 68
Generalized thermoelasticity based on higher-order memory-dependent derivative with time delay
2020 · Ahmed E. Abouelregal, Mohamed V. Moustapha, et al. · Results in Physics · 68
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Modeling of memory-dependent derivative in a fibre-reinforced plate
2017 · Abhik Sur, M. Kanoria · Thin-Walled Structures · 62
Transient response in a thermoelastic half-space solid due to a laser pulse under three theories with memory-dependent derivative
2018 · S. Mondal, P. Pal, et al. · Acta Mechanica · 61
Constructing a three-dimensional creep model for rocks and soils based on memory-dependent derivatives: A theoretical and experimental study
2023 · Liming Zhang, Liming Zhang, et al. · Computers and Geotechnics · 60
Characterization of thermal damage of skin tissue subjected to moving heat source in the purview of dual phase lag theory with memory-dependent derivative
2021 · Ravi Kumar, Rakhi Tiwari, et al. · Waves in Random and Complex Media · 60
Non-local memory-dependent heat conduction in a magneto-thermoelastic problem
2020 · Abhik Sur · Waves in Random and Complex Media · 60
Photo-thermo-elastic wave propagation under the influence of magnetic field in presence of memory responses
2019 · Sudip Mondal, Abhik Sur, et al. · Mechanics Based Design of Structures and Machines · 58
A generalized thermoelastic problem with nonlocal effect and memory-dependent derivative when subjected to a moving heat source
2018 · Pei Zhang, Tianhu He · Waves in Random and Complex Media · 58
Analysis of a magneto-thermoelastic problem in a piezoelastic medium using the non-local memory-dependent heat conduction theory involving three phase lags
2021 · Rakhi Tiwari, Ravi Kumar, et al. · Mechanics of Time-Dependent Materials · 56
Works count: 400
Citation count: 7,347
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