[1] Tripathi, J.J., Warbhe, S.D., Deshmukh, K.C., Verma J., Fractional Order Thermoelastic Deflection in a Thin Circular Plate, Applications and Applied Mathematics Journal, 12(2), 2017, Article 17.
[2] Abouelregal, A., Ahmad, H., A Modified Thermoelastic Fractional Heat Conduction Model with a Single-Lag and Two Different Fractional-Orders, Journal of Applied and Computational Mechanics, 7(3), 2021, 1676-1686.
[3] Jajarmi, A., Baleanu, D., On the fractional optimal control problems with a general derivative operator, Asian Journal of Control, 32(2), 2021, 1062-1071.
[4] Piccolo, V., Alaimo, G., Chiappini, A., Ferrari, M., Zonta, D., Zingales, M., Deseri, L., Fractional-Order Theory of Thermoelasticity II: Quasi-Static Behavior of Bars, Journal of Engineering Mechanics, 144(2), 2018, 346-354.
[5] Caputo, M., Fabrizio, M., A new definition of fractional derivative without singular kernel, Progress in Fractional Differentiation and Applications, 2, 2015, 73–85.
[6] Atangana, A., Baleanu, D., New fractional derivative without singular kernel: Theory and application to heat transfer modal, Journal of Thermal Science, 20(2), 2016, 763–769.
[7] Caputo, M., Mainardi, F., A new dissipation model based on memory mechanism, Pure and Applied Geophysics, 91(1), 1971, 134–147.
[8] Alkahtani, B., Atangana, A., Analysis of non-homogeneous heat model with new trend of derivative with fractional order, Chaos, Solitons & Fractals, 89, 2016, 566–571.
[9] Atangana, A., Alqahtani, R., New numerical method and application to Keller-Segel model with fractional order derivative, Chaos, Solitons & Fractals, 116, 2018, 14–21.
[10] Owolabi, K., Atangana, A., Computational study of multi-species fractional reaction-diffusion system with ABC operator, Chaos, Solitons & Fractals, 128, 2019, 280–289.
[11] Owolabi, K., Hammouch, Z., Spatiotemporal patterns in the Belousov-Zhabotinskii reaction systems with Atangana-Baleanu fractional order derivative, Physica A: Statistical Mechanics and its Applications, 523, 2019, 1072–1090.
[12] Parveen, L., Fractional order thermoelastic thick circular plate with two temperatures in frequency domain, Journal of Applications and Applied Mathematics, 13(2), 2018, 1216 – 1229.
[13] Povstenko, Y., Kyrylych, T., Fractional thermoelasticity problem for an infinite solid with a penny-shaped crack under prescribed heat flux across its surfaces, Journal of Philosophical Transactions of the Royal Society A, 378(2172), 2020, 1471-2962.
[14] Abouelregal, A.E., Fractional derivative Moore-Gibson-Thompson heat equation without singular kernel for a thermoelastic medium with a cylindrical hole and variable properties, ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 102(1), 2021, e202000327.
[15] Owolabi, K., Hammouch, Z., Spatiotemporal patterns in the Belousov-Zhabotinskii reaction systems with Atangana-Baleanu fractional order derivative, Physica A: Statistical Mechanics and its Applications, 523, 2019, 1072–1090.
[16] Al-Refai, M., Hajji, M.A., Analysis of a fractional eigenvalue problem involving Atangana-Baleanu fractional derivative a maximum principle and applications, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29, 2019, 13135.
[17] Rakhi, T., Ravi K., Analysis of Plane wave propagation under the purview of three phase lags theory of thermoelasticity with non-local effect, European Journal of Mechanics - A/Solids, 88, 2021, 104235.
[18] Tiwari, R., Kumar, R., Abouelregal, A.E., Analysis of a magneto-thermoelastic problem in a piezoelastic medium using the non-local memory-dependent heat conduction theory involving three phase lags, Mechanics of Time-Dependent Materials, 2021, 1-17.
[19] Rakhi, T., Santwana, M., Boundary Integral Equations Formulation for Fractional Order Thermoelasticity, Computational Methods in Science and Technology, 20(2), 2014, 49-58
[20] Lord, H., Shulman, Y., A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15(5), 1967, 299–309.
[21] Green, A.E., Lindsay, K.E., Thermoelasticity, J. Elasticity, 2, 1972, 1–7.
[22] Green, A.E., Naghdi, P.M., A re-examination of the basic postulates of thermomechanics, Proceedings of the Royal Society A, 432, 1991, 171–94.
[23] Green, A.E., Naghdi, P.M., On undamped heat waves in an elastic solid, Journal of Thermal Stresses, 15, 1992, 253–64.
[24] Green, A.E., Naghdi, P.M., Thermoelasticity without energy dissipation, Journal of Elasticity, 31, 1993, 189–208.
[25] Dhaliwal, R., Sherief, H., Generalized thermoelasticity for anisotropic media, The Quarterly of Applied Mathematics, 38(1), 1980, 1–8.
[26] Sherief, H., Hamza, F., El-Sayed, A., Theory of generalized micropolar thermoelasticity and an axisymmetric half-space problem, Journal of Thermal Stresses, 28, 2005, 409–437.
[27] Ghosh, D., Lahiri, A., A Study on the Generalized Thermoelastic Problem for an Anisotropic Medium, Journal of Heat Transfer, 140(9), 2018, 094501.
[28] Abouelregal, A.E., Thermoelastic fractional derivative model for exciting viscoelastic microbeam resting on Winkler foundation, Journal of Vibration and Control, 27(17), 2020, 2123-2135.
[29] Sadeghi, M., Kiani, Y., Generalized magneto-thermoelasticity of a layer based on the Lord–Shulman and Green–Lindsay theories, Journal of Thermal Stresses, 45(2), 2022, 101-171.
[30] Marin, M., An uniqueness result for body with voids in linear thermoelasticity, Rendiconti di Matematica, 17(7), 1997, 103-113.
[31] Marin, M., On the domain of influence in thermoelasticity of bodies with voids, Archivum Mathematicum, 33(4), 1997, 301-308.
[32] Marin, M., Marinescu, C., Thermoelasticity of initially stressed bodies. Asymptotic equipartition of energies, International Journal of Engineering Science, 36(1), 1998, 73- 86.
[33] Rakhi, T., Santwana, M., On electromagneto-thermoelastic plane waves under Green–Naghdi theory of thermoelasticity-II, Journal of Thermal Stresses, 40(8), 2017, 1040-1062.
[34] Rakhi, T., Misra, J.C., Rashmi, P., Magneto-thermoelastic wave propagation in a finitely conducting medium: A comparative study for three types of thermoelasticity I, II, and III, Journal of Thermal Stresses, 44(7), 2021, 785-806.
[35] Rakhi, T., Magneto-thermoelastic interactions in generalized thermoelastic half-space for varying thermal and electrical conductivity, Waves in Random and Complex Media, 2021, 1-7.
[36] Abouelregal, A.E., A Modified Law of Heat Conduction of Thermoelasticity with Fractional Derivative and Relaxation Time, Journal of Molecular and Engineering Materials, 8(1), 2020, 2050003.
[37] Abouelregal, A.E., A Modified fractional thermoelasticity model with multi-relaxation times of higher order: application to spherical cavity exposed to a harmonic varying heat, Waves in Random and Complex Media, 31(5), 2021, 812-832.
[38] Abouelregal, A.E., Mohammad-Sedighi, H., Faghidian, S.A., Shirazi, A.H., Temperature-dependent physical characteristics of the rotating nonlocal nanobeams subject to a varying heat source and a dynamic load, Facta Universitatis, Series: Mechanical Engineering, 19(4), 2021, 633-56.
[39] Sedighi, H.M., Ouakad, H.M., Dimitri, R., Tornabene, F., Stress-driven nonlocal elasticity for the instability analysis of fluid-conveying C-BN hybrid-nanotube in a magneto-thermal environment, Physica Scripta, 95(6), 2020, 065204.
[40] Sedighi, H.M., Divergence and flutter instability of magneto-thermo-elastic C-BN hetero-nanotubes conveying fluid, Acta Mechanica Sinica, 36(2), 2020, 381-96.
[41] Abouelregal, A.E., Sedighi, H.M., The effect of variable properties and rotation in a visco-thermoelastic orthotropic annular cylinder under the Moore–Gibson–Thompson heat conduction model, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 235(5), 2021, 1004-20.
[42] Nowacki, W., Dynamical Problems of Thermoelastic Diffusion in Solids I, Bull. Acad. Pol. Sci., Ser. Sci. Tech., 22, 1974, 55–64.
[43] Nowacki, W., Dynamical Problems of Thermoelastic Diffusion in Solids II, Bull. Acad. Pol. Sci., Ser. Sci. Tech., 22, 1974, 129–135.
[44] Nowacki, W., Dynamical Problems of Thermoelastic Diffusion in Solids I, Bull. Acad. Pol. Sci., Ser. Sci. Tech., 22, 1974, 257–266.
[45] Nowacki, W., Dynamical Problems of Thermoelastic Diffusion in Elastic Solids, Proc. Vib. Prob., 15, 1974, 105–128.
[46] Sherief, H., Saleh, H., A Half-Space Problem in the Theory of Generalized Thermoelastic Diffusion, International Journal of Solids and Structure, 42, 2005, 4484–4493.
[47] Alzahrani, F.S., Abbas, I.A., Generalized thermoelastic diffusion in a nanoscale beam using eigenvalue approach, Acta Mechanica, 227, 2016, 955–968.
[48] Abouelregal, A.E., Hakan, E., Ömer, C., Solution of Moore–Gibson–Thompson Equation of an Unbounded Medium with a Cylindrical Hole, Mathematics, 9(13), 2021, 1536.
[49] Chenlin, L., Huili, G., Xiaogeng, T., Tianhu, H., Generalized thermoelastic diffusion problems with fractional order strain, European Journal of Mechanics - A/Solids, 78, 2019, 103827.
[50] Aseem, M., Rajneesh, K., Rekha, R., Two Dimensional Axisymmetric Thermoelastic Diffusion Problem of Micropolar Porous Circular Plate with Dual Phase Lag Model, Mechanics and Mechanical Engineering, 22(4), 2018, 1389–1406.
[51] Davydov, S.A., Zemskov, A.V., Thermoelastic diffusion phase-lag model for a layer with internal heat and mass sources, International Journal of Heat and Mass Transfer, 183, 2022, 122213.
[52] Masood, K., Zahoor, I., Awais, A., Stagnation point flow of magnetized Burgers’ nanofluid subject to thermal radiation, Applied Nanoscience, 10, 2020, 5233–5246.
[53] Zahoor, I., Masood, K., Awais, A., Jawad, A., Abdul, H., Thermal energy transport in Burgers nanofluid flow featuring the Cattaneo–Christov double diffusion theory, Applied Nanoscience, 10, 2020, 5331–5342.
[54] Masood, K., Zahoor, I., Awais, A., A mathematical model to examine the heat transport features in Burgers fluid flow due to stretching cylinder, Journal of Thermal Analysis and Calorimetry, 147, 2022, 827–841.
[55] Zahoor, I., Masood, K., Awais, A.,On modified Fourier heat flux in stagnation point flow of magnetized Burgers' fluid subject to homogeneous–heterogeneous reactions, Journal of Thermal Analysis and Calorimetry, 147, 2022, 815–826.
[56] Zahoor, I., Masood, K., Awais, A., Sohail N., Features of thermophoretic and Brownian forces in Burgers fluid flow subject to Joule heating and convective conditions, Physica Scripta, 96(1), 2021, 015211.
[57] Zahoor, I., Masood, K., Awais, A., Burgers fluid flow in perspective of Buongiorno’s model with improved heat and mass flux theory for stretching cylinder, The European Physical Journal of Applied Physics, 92(3), 2020, 14.
[58] Abouelregal, A.E., Generalized mathematical novel model of thermoelastic diffusion with four phase lags and higher-order time derivative, The European Physical Journal Plus, 135(2), 2020, 263.
[59] Aouadi, M., A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion, International Journal of Solids and Structures, 44, 2007, 5711–5722.
[60] Elhagary, M.A., Fractional thermoelastic diffusion problem for an infinite medium with a spherical cavity using Modified Caputo-Fabrizio’s definition, Waves in Random and Complex Media, 44, 2021, 281-94.
[61] Sherief, H., Hamza, F., Saleh, H., The theory of generalized thermoelastic diffusion, International Journal of Engineering Science, 42, 2004, 591–608.
[62] Watson, G.N., A treatise on the theory of Bessel functions, London: Cambridge University Press, 1996.
[63] Durbin, F., Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method, The Computer Journal, 17(4), 1973, 371.
[64] Sherief, H., Raslan, W., 2D problem for a long cylinder in the fractional theory of thermoelasticity, Latin American Journal of Solids and Structures, 13, 2016, 1596–1613.
[65] Aouadi, M., A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion, International Journal of Solids and Structures, 44, 2007, 5711–5722.