Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups

Zhang, T; Zhu, JX

Zhu, JX (通讯作者),Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2023; 26 (4): 1786

Abstract

We establish a novel definition of the fractional gradient and divergence of order a ? (0, 1) through the use of Riesz potential on homogeneous Carnot......

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