Prabhakar分数阶$q$-积分与$q$-微分算子及其性质
偏微分方程分析
2022-12-20 v1
摘要
本文引入了Prabhakar分数阶-积分与-微分算子。我们首先研究Prabhakar分数阶-积分算子的半群性质，由此引入相应的-微分算子。还给出了-积分与-微分算子复合的公式。我们证明了Prabhakar分数阶-积分算子在-可积函数类中的有界性。
引用
@article{arxiv.2212.08843,
title = {The Prabhakar fractional $q$-integral and $q$-differential operators, and their properties},
author = {Serikbol Shaimardan and Erkinjon Karimov and Michael Ruzhansky and Azizbek Mamanazarov},
journal= {arXiv preprint arXiv:2212.08843},
year = {2022}
}