4.3 Article

INITIAL BOUNDARY VALUE PROBLEM FOR FRACTAL HEAT EQUATION IN THE SEMI-INFINITE REGION BY YANG-LAPLACE TRANSFORM

Journal

THERMAL SCIENCE
Volume 18, Issue 2, Pages 677-681

Publisher

VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI130901152Z

Keywords

initial boundary value problem; heat equation; fractal media; Yang-Laplace transform

Categories

Funding

  1. National scientific and technological support projects [2012BAEO9B00]
  2. National Natural Science Foundation of China [11126213, 61170317]
  3. National Natural Science Foundation of Hebei Province [A2012209043, E2013209215]

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Analytical solution of transient heat conduction through a semi-infinite fractal medium is developed. The solution focuses on application of a local fractional derivative operator to model the heat transfer process and a solution through the Yang-Laplace transform.

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