A new generalization of the y-function applied to model the anomalous diffusion | Zendy

XiaoJun Yang | Zendy; Xiaojin Yu | Zendy

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A new generalization of the y-function applied to model the anomalous diffusion

Author(s) -

XiaoJun Yang,

Xiaojin Yu

Publication year - 2022

Publication title -

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.

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