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Original Articles

State-Space Approach to Fractional Order Two-Temperature Generalized Thermoelastic Medium Subjected to Moving Heat Source

Pages 47-60 | Received 21 May 2010, Accepted 31 Jan 2011, Published online: 17 Dec 2012

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Ashraf M. Zenkour, Daoud S. Mashat & Ashraf M. Allehaibi. (2021) Thermoelastic Coupling Response of an Unbounded Solid with a Cylindrical Cavity Due to a Moving Heat Source. Mathematics 10:1, pages 9.
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Ya Jun Yu & Zi Chen Deng. (2020) Fractional order theory of Cattaneo-type thermoelasticity using new fractional derivatives. Applied Mathematical Modelling 87, pages 731-751.
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Hamdy M. Youssef & Najat A. Alghamdi. (2020) The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux. Scientific Reports 10:1.
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Sunita Deswal, Baljit Singh Punia & Kapil Kumar Kalkal. (2017) Thermodynamical interactions in a two-temperature dual-phase-lag micropolar thermoelasticity with gravity. Multidiscipline Modeling in Materials and Structures 14:1, pages 102-124.
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A. K. Khamis, M. A. H. Ismail, Hamdy M. Youssef & A. A. El-Bary. (2017) Thermal shock problem of two-temperature generalized thermoelasticity without energy dissipation with rotation. Microsystem Technologies 23:10, pages 4831-4839.
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Samia M Said. (2016) Two-temperature generalized magneto-thermoelastic medium for dual-phase-lag model under the effect of gravity field and hydrostatic initial stress. Multidiscipline Modeling in Materials and Structures 12:2, pages 362-383.
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Chunbao Xiong & Ying Guo. (2016) Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity. Advances in Materials Science and Engineering 2016, pages 1-12.
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Yingze Wang, Dong Liu, Qian Wang & Jianzhong Zhou. (2015) Effect of fractional order parameter on thermoelastic behaviors of elastic medium with variable properties. Acta Mechanica Solida Sinica 28:6, pages 682-692.
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Yaqin Song, Jintao Bai, Zheng Zhao & Yongfeng Kang. (2014) Study on the Vibration of Optically Excited Microcantilevers Under Fractional-Order Thermoelastic Theory. International Journal of Thermophysics 36:4, pages 733-746.
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Ibrahim A. Abbas. (2014) A GN model based upon two-temperature generalized thermoelastic theory in an unbounded medium with a spherical cavity. Applied Mathematics and Computation 245, pages 108-115.
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Ibrahim A. Abbas. (2014) Eigenvalue approach for an unbounded medium with a spherical cavity based upon two-temperature generalized thermoelastic theory. Journal of Mechanical Science and Technology 28:10, pages 4193-4198.
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Tianhu He & Ying Guo. (2014) A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity. Advances in Materials Science and Engineering 2014, pages 1-9.
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