TY - JOUR
TI - A new generalization of the y-function applied to model the anomalous diffusion
AU - Yang Xiao-Jun
AU - Yu Xiao-Jin
JN - Thermal Science
PY - 2022
VL - 26
IS - 2
SP - 1069
EP - 1079
PT - Article
AB - 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.