THERMAL SCIENCE

International Scientific Journal

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Xiao-Jun Yang

,

Xiao-Jin Yu

A NEW GENERALIZATION OF THE Y-FUNCTION APPLIED TO MODEL THE ANOMALOUS DIFFUSION

ABSTRACT
In this paper, we propose the W-, K-, τ-, U-, V-, and O-functions for the first time. The K series representations for the W-, τ-, U-, V-, and O-functions are discussed. The derivatives, and integral transforms and special cases for the obtained special functions are presented. The anomalous diffusion models via derivative operators associated with the τ- and L-functions are suggested. The obtained results are used to give the series representations for the I-, H-, and G-functions.
KEYWORDS
anomalous diffusion, special function, Y-function, I-function, H-function, G-function
PAPER SUBMITTED: 2021-06-03
PAPER REVISED: 2021-07-18
PAPER ACCEPTED: 2021-07-20
PUBLISHED ONLINE: 2022-04-09
DOI REFERENCE: https://doi.org/10.2298/TSCI2202069Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 2, PAGES [1069 - 1079]
REFERENCES
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A new generalization of the y-function applied to model the anomalous diffusion

© 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