Open AccessA new generalization of the y-function applied to model the anomalous diffusion
Author(s) -
XiaoJun Yang,
Yu Xiao-Jin
Publication year - 2022
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci2202069y
Subject(s) - generalization , series (stratigraphy) , diffusion , anomalous diffusion , function (biology) , derivative (finance) , mathematical physics , mathematics , pure mathematics , physics , mathematical analysis , thermodynamics , computer science , innovation diffusion , geology , biology , paleontology , knowledge management , evolutionary biology , financial economics , economics
In this paper, we propose the W-, K-, ?-, U-, V-, and O-functions for the first time. The K series representations for the W-, ?-, 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 ?- and L-functions are suggested. The obtained results are used to give the series representations for the I-, H-, and G-functions.