THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Huan Sun

,

Xing-Hua Liu

LAPLACE TRANSFORM SERIES EXPANSION METHOD FOR SOLVING THE LOCAL FRACTIONAL HEAT-TRANSFER EQUATION DEFINED ON CANTOR SETS

ABSTRACT
In this paper, we use the Laplace transform series expansion method to find the analytical solution for the local fractional heat-transfer equation defined on Cantor sets via local fractional calculus.
KEYWORDS
heat-transfer equation, analytical solution, Laplace transform series expansion method, local fractional calculus
PAPER SUBMITTED: 2015-12-17
PAPER REVISED: 2016-01-14
PAPER ACCEPTED: 2016-01-26
PUBLISHED ONLINE: 2016-08-14
DOI REFERENCE: https://doi.org/10.2298/TSCI151217201S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S777 - S780]
REFERENCES
  1. Yang, X. J., Baleanu, D., Srivastava, H. M., Local Fractional Integral Transforms and Their Applications, Academic Press, 2015
  2. Yang, X. J., et al., Fractal Heat Conduction Problem Solved by Local Fractional Variation Iteration Method, Thermal Science, 17(2013), 2, pp.625-628
  3. He, J. H., Local Fractional Variational Iteration Method for Fractal Heat Transfer in Silk Cocoon Hierarchy, Nonlinear Science Letters A, 4(2013),1, pp.15-20
  4. Zhang, Y., et al., Local Fractional Homotopy Perturbation Method for Solving Non-homogeneous Heat Conduction Equations in Fractal Domains, Entropy, 17(2015), 10, pp.6753-6764
  5. Zhao, D., et al., Some Fractal Heat-transfer Problems with Local Fractional Calculus, Therm. Sci., 19(2015), 5, pp.1867-1871
  6. Cattani, C., Srivastava, H. M., Yang, X. J. (Eds.), Fractional dynamics, Walter de Gruyter GmbH & Co KG, 2016
  7. Wang, Y., et al., Solving Fractal Steady Heat-transfer Problems with the Local Fractional Sumudu Transform, Thermal Science, 19(2015), Suppl.２, pp. 637-641
  8. Yan, S. P., Local Fractional Laplace Series Expansion Method for Diffusion Equation Arising in Fractal Heat Transfer, Thermal Science, 19(2015) , Suppl. 1, pp.131-135
PDF VERSION [DOWNLOAD]
Laplace transform series expansion method for solving the local fractional heat-transfer equation defined on Cantor sets

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence