THERMAL SCIENCE
International Scientific Journal
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
THERMAL SCIENCE YEAR
2019, VOLUME
23, ISSUE
Supplement 3, PAGES [S0 - S0]
- Yang, X. J., General Fractional Derivatives: Theory, Methods and Applications, CRC Press, New York, USA, 2019
- Samko, S. G., et al., Fractional Integrals and Derivatives, Gordon and Breach Science, Yverdon, Switzerland, 1993
- Liouville, J., Memoire sur le Calcul des Different idles a Indices Quelconques, Journal de Ecole Polytechnique, 13 (1832), 21, pp. 71-162
- Riemann, B., Versuch einer allgemeinen Auffassung der Integration und Differentiation, Bernhard Riemanns Gesammelte Mathematische Werke, 1847, Janvier, pp. 353-362
- Caputo, M., Linear Models of Dissipation Whose Q is almost Frequency Independent II, Geophysical Journal International, 13 (1967), 5, pp. 529-539
- 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
- Yang, X. J., Local Fractional Integral Transforms and Their Applications, Academic Press, New York, USA, 2015
- Yang, X. J., Advanced Local Fractional Calculus and Its Applications, World Science Publisher, New York, USA, 2012
- Yang, X. J., Local Fractional Functional Analysis & Its Applications, Asian Academic Publisher Limited, Hong Kong, China, 2011