A modified fractional order generalized bio-thermoelastic theory with temperature-dependent thermal material properties

In present work, the theory of a modified fractional order generalized bio-thermoelasticity with variable thermal material properties is developed. To keep the dimensions of fractional order thermoelastic theory consistent, a new parameter is first introduced into the generalized fractional order heat conduction equation. One-layered skin tissue with variable thermal properties is used for the numerical evaluation after the accuracy of the modified fractional order bio-thermoelastic model is verified. The effects of fractional order parameter, the added parameter and temperature-dependent thermal properties on the responses of skin tissue are discussed and illustrated graphically.