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A novel solution of fractional order heat equation for photothermal waves in a semiconductor medium with a spherical cavity

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  • Lotfy, Kh.

Abstract

In this paper, we consider a one dimensional problem of waves in a thermoelastic infinite medium with a spherical cavity. We are concerned with the study a new model of fractional order heat conduction law for a spherical cavity of a semiconductor medium. The governing equations are solved under the effect of the theory of coupled plasma, elastic, thermal waves through a photothermal process. The inner surface of the cavity is taken traction free with thermal shock. Time-dependence is removed by Laplace transform technique to governing equations. This method has been used to get the exact expression of some physical quantities, thermal activation coupling parameters and illustrated graphically.

Suggested Citation

  • Lotfy, Kh., 2017. "A novel solution of fractional order heat equation for photothermal waves in a semiconductor medium with a spherical cavity," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 233-242.
    • Handle: RePEc:eee:chsofr:v:99:y:2017:i:c:p:233-242
    DOI: 10.1016/j.chaos.2017.04.017
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