A new generalization of the y-function applied to model the anomalous diffusion
Xiao‐Jun YangState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China + School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, ChinaXiaojin YuSchool of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, China
2022en
ABI
Аннотация
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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