EAS Publisher | Study on the Relation between the Solution and Order of Fractional Bio-Heat Transfer Model

Study on the Relation between the Solution and Order of Fractional Bio-Heat Transfer Model

DOI : https://doi.org/10.36349/easjecs.2019.v02i11.001

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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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Lecturer, Dept. of Pharmacology and Therapeutics, Shaheed Monsur Ali Medical College & Hospital, Uttara, Dhaka-1230, Bangladesh

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