A fractional-order theory of phase transformation in presence of anomalous heat transfer

A fractional-order theory of phase transformation in presence of anomalous heat transfer

Gianmarco Nuzzo, Fabiana Amiri, Salvatore Russotto, Emanuela Bologna, Massimiliano Zingales

Abstract. In this paper the solution for the one-dimensional Stefan problem of fractional order was examined, considering a generalization of Fourier’s law, in which flux is related to temperature through Caputo’s fractional derivative.

Keywords
Fractional Calculus, Anomalous Heat Transfer, Stefan Problem

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Gianmarco Nuzzo, Fabiana Amiri, Salvatore Russotto, Emanuela Bologna, Massimiliano Zingales, A fractional-order theory of phase transformation in presence of anomalous heat transfer, Materials Research Proceedings, Vol. 26, pp 77-82, 2023

DOI: https://doi.org/10.21741/9781644902431-13

The article was published as article 13 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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