On generalized distributions associated with singular partial differential operators

Year 2025, Volume: 54 Issue: 4, 1410 - 1425, 29.08.2025

Khaled Hleili , Manel Hleili

https://doi.org/10.15672/hujms.1447127

Abstract

In this paper, we discuss various properties of the Riemann-Liouville operator over the generalized distributions $\mathcal{D}^{'}_w([0,+\infty[\times\mathbb{R})$ and other spaces. Next, we examine some properties of the convolution of the generalized distributions on the space $\mathcal{D}^{'}_w([0,+\infty[\times\mathbb{R})$.

Keywords

Riemann-Liouville operator , generalized distributions , partial differential operator

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