Analytical Solution for the Time-Fractional Pennes Bioheat Transfer Equation on Skin Tissue

Zhou Jin Cui; Gui Dong Chen; Rui Zhang

doi:10.4028/www.scientific.net/AMR.1049-1050.1471

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1049-1050Analytical Solution for the Time-Fractional Pennes...

Analytical Solution for the Time-Fractional Pennes Bioheat Transfer Equation on Skin Tissue

Abstract:

This study focuses on analytical solution of a fractional Pennes bioheat transfer equation on skin tissue. The method of separating variables, finite Fourier sine transformation, Laplace transformation and their corresponding inverse transforms are used to solve this equation with three kinds of nonhomogeneous boundary conditions, namely, Dirichlet, Neumann and Robin boundary value conditions. The exact solutions are discussed and derived in the form of generalized Mittag-Leffler function. In addition, numerical results are presented graphically for various values of order factional derivative.

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Periodical:

Advanced Materials Research (Volumes 1049-1050)

Pages:

1471-1474

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1049-1050.1471

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Online since:

October 2014

Authors:

Zhou Jin Cui*, Gui Dong Chen, Rui Zhang

Keywords:

Bioheat Transfer, Finite Fourier Sine Transformation, Fractional Calculus, Laplace Transformation, Mittag-Leffler Function, Separating Variables

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