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• [1] H. Lord, Y. Shulman, “A Generalized Dynamical theory of thermoelasticity,” J. Mechanics Physics Solids, 15, 299-307, 1967.
• [2] S. H. Mallik, M. Kanoria, “A Two dimensional problem for a transversely isotropic generalized thermoelastic thick plate with spatially varying heat source,” European J. Mechanics A/Solids, 27, 607–621, 2008.
• [3] N. M. El-Maghraby, “A two dimensional problem for a thick plate and heat sources in Generalized thermoelasticity,” J. Thermal Stresses, 28, 1227-1241, 2005.
• [4] J. J. Tripathi, G. D. Kedar, K. C. Deshmukh, “Dynamic Problem of Generalized Thermoelasticity for a Semi-infinite Cylinder with Heat Sources,” J. Thermoelasticity , 2, 1-8, 2014.
• [5] J. J. Tripathi, G. D. Kedar, K. C. Deshmukh, “Generalized thermoelastic diffusion problem in a thick circular plate with axisymmetric heat supply,” Acta Mech., 226, 2121-2134, 2015.
• [6] J. J. Tripathi, G. D. Kedar, K. C. Deshmukh, “Two dimensional generalized thermoelastic diffusion in a half space under axisymmetric distributions,” Acta Mech., 226, 3263-3274, 2015.
• [7] Y.Z. Povstenko, “Fractional heat conduction equation and associated thermal stress,” J. Thermal Stresses, 28, 83–102, 2005.
• [8] Y.Z. Povstenko, “Fractional heat conduction equation and associated thermal stresses in an infinite solid with a spherical cavity,” Quart. J. Mech. Appl. Math., 61, 523–547, 2008.
• [9] Y.Z. Povstenko, “Fractional radial diffusion in an infinite medium with cylindrical cavity,” Quart. Appl. Math., 67, 113–123, 2009.
• [10] Y.Z. Povstenko, “Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses,” Mech. Res. Commun., doi: 10.1016/j.mechrescom. 2010.04.006.
• [11] H. H. Sherief, A. El-Sayed, A. A. El-Latief, “Fractional order theory of thermoelasticity,” Int. J. Solids Struct. , 47, 269–275, 2010.
• [12] M. A. Ezzat, A. S. El-Karamany, “Fractional order theory of a perfect conducting thermoelastic medium,” Can. J. Phys., 89, 311-318, 2011.
• [13] M. A. Ezzat, A. S. El-Karamany, “Theory of Fractional order in electro-thermo-elasticity,” Eur. J. Mech. A/Solids, 30, 491-500, 2011.
• [14] H. H. Sherief, A. El-Sayed, A. A. El-Latief, “Fractional order theory of thermoelasticity,” Int. J. Solids Struct., 47, 269–275, 2010.
• [15] M. Baccher, “Deformations due to periodically varying heat sources in a reference temperature dependent thermoelastic porous material with a time free heat conduction law,” IRJET, 2, 145-152, 2015.
• [16] M. Islam, M. Kanoria, “Short time analysis of magnetothermoelastic wave under fractional order heat conduction law,” J. Thermal Stresses, 38, 1219-1249, 2015.
• [17] W. E. Raslan, “Application of Fractional order theory of thermoelasticity in a thick plate under axisymmetric temperature distribution,” J. Thermal Stresses, 38, 733-743, 2015.
• [18] J.J. Tripathi, G.D. Kedar, K.C. Deshmukh, “Generalized thermoelastic diffusion in a thick circular plate including heat source,” Alexandria Engineering J., 55, 2241-2249, 2016.
• [19] N, Sarkar, “Wave propagation in an initially stressed elastic half-space solids under time-fractional order two-temperature magneto-thermoelasticity,” Eur. Phys. J. Plus, 132, 154, 2017.
• [20] J. J. Tripathi, G. D. Kedar, K. C. Deshmukh, “Dynamic problem offractional order thermoelasticity for a thick circular plate with finite wave speeds,” J. Thermal Stresses, 39, 220-230, 2016.
• [21] S. D. Warbhe, J. J. Tripathi, K. C. Deshmukh, J. Verma, “Fractional Heat Conduction in a Thin Circular Plate With Constant Temperature Distribution and Associated Thermal Stresses,” J. Heat Transfer, 139, 044502, 2017.
• [22] X. Chunbao, N. Yanbo, “Fractional-order generalized thermoelastic diffusion theory,” Applied Mathematics Mechanics, 38, 1091-1108, 2017.
• [23] D. P. Gaver, “Observing Stochastic processes and approximate transform inversion,” Operations Res., 14, 444-459, 1966.
• [24] H. Stehfast, “Algorithm 368, Numerical inversion of Laplace transforms,” Comm. Ass’n. Comp. Mach., 13, 47-49, 1970.
• [25] H. Stehfast, “Remark on algorithm 368, Numerical inversion of Laplace transforms,” Comm. Ass’n. Comp., 3, 624, 1970.
• [26] W. H. Press, B. P. Flannery, S. A. Teukolsky, W. A. Vetterling, Numerical Recipes, Cambridge University Press, Cambridge, the art of scientific computing, 1986.