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FROM THE GUEST EDITORS, 2019, SUPPLEMENT 3

ABSTRACT
The mathematical models for the heat and fluid flow based on the Newton-Leibniz calculus have been successfully developed to describe the transport processes of the heat and mass transfer in fluid, solid and gases. Since the nature is fractal, there exists a great many of the mathematical models for them based on the other calculi due to the limitation of the classical models for them.
PUBLISHED ONLINE: 2019-09-15
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THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [S0 - S0]
REFERENCES
  1. Yang, X. J., General Fractional Derivatives: Theory, Methods and Applications, CRC Press, New York, USA, 2019
  2. Samko, S. G., et al., Fractional Integrals and Derivatives, Gordon and Breach Science, Yverdon, Switzerland, 1993
  3. Liouville, J., Memoire sur le Calcul des Different idles a Indices Quelconques, Journal de Ecole Polytechnique, 13 (1832), 21, pp. 71-162
  4. Riemann, B., Versuch einer allgemeinen Auffassung der Integration und Differentiation, Bernhard Riemanns Gesammelte Mathematische Werke, 1847, Janvier, pp. 353-362
  5. Caputo, M., Linear Models of Dissipation Whose Q is almost Frequency Independent II, Geophysical Journal International, 13 (1967), 5, pp. 529-539
  6. Yang, X. J., et al., Anomalous Diffusion Models with General Fractional Derivatives within the Kernels of the Extended Mittag-Leffler Type Functions, Romanian Reports in Physics, 69 (2017), 2, ID 115
  7. Yang, X. J., Local Fractional Integral Transforms and Their Applications, Academic Press, New York, USA, 2015
  8. Yang, X. J., Advanced Local Fractional Calculus and Its Applications, World Science Publisher, New York, USA, 2012
  9. Yang, X. J., Local Fractional Functional Analysis & Its Applications, Asian Academic Publisher Limited, Hong Kong, China, 2011

© 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