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PP. 25-27

Open Access

Common Fixed Points in Cone Metric Spaces

K. Prudhvi

American Journal of Mathematical Analysis. 2013, 1(2), 25-27

Publication Date (Web): 24 April 2013

DOI: 10.12691/ajma-1-2-2

Abstract: In this paper, we prove a unique common fixed point theorem in cone metric spaces without appealing to commutativity conditions. These results generalize several well-known comparable results in the literature.

PP. 20-24

Open Access

Numerical Solution of Fractional Bioheat Equation with Constant and Sinusoidal Heat Flux Condition on Skin Tissue

R. S. Damor, Sushil Kumar, A. K. Shukla

American Journal of Mathematical Analysis. 2013, 1(2), 20-24

Publication Date (Web): 17 May 2013

DOI: 10.12691/ajma-1-2-1

Abstract: Heat transfer in skin tissue is an area of interest for medical sciences. In this paper we intend to study fractional bioheat equation for heat transfer in skin tissue with constant and sinusoidal heat flux condition on skin surface. Numerical solutions are obtained by implicit finite difference method. We study the effect of anomalous diffusion in skin tissue and compare it with normal diffusion, with constant and sinusoidal heat flux. This study intends to find the temperature profiles for different order fractional bioheat equations.