双参数可调分数半群与抽象柯西问题

IF 0.8 4区数学 Q2 MATHEMATICS

Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2308303a

R. Ameziane Hassani, A. Blali, A. El amrani, Beldi El

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引用次数: 0

摘要

本文的目的是引入双参数可调分数半群，并给出其无穷小发生器的定义。对于这样的生成器，我们开发了多个结果。此外，我们还证明了双参数可调分数半群为双参数可调分数抽象柯西问题提供了一个解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Two-parameter conformable fractional semigroups and abstract Cauchy problems

The goal of this work is to introduce the two-parameter conformable fractional semigroups and provide a definition of its infinitesimal generator. For such generators, we develop multiple results. In addition, we show that the two-parameter conformable fractional semigroups provide a solution for two-parameter conformable fractional abstract Cauchy problems.

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