Two-parameter conformable fractional semigroups and abstract Cauchy problems-Reference-Cited by-同舟云学术

Two-parameter conformable fractional semigroups and abstract Cauchy problems

Published:2023 Issue:8 Volume:37 Page:2303-2319
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ameziane Hassani Rachid¹,Blali Aziz²,El Amrani Abdelkhalek¹,El Beldi¹

Affiliation:

1. Department of Mathematics, Dhar El Mahraz Faculty of Sciences, University Sidi Mohammed Ben Abdellah, Morocco

2. Department of Mathematics, École Normale Supérieure, University Sidi Mohammed Ben Abdellah, Morocco

Abstract

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.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference20 articles.

1. Ahmed A. Abdelhakim, The flaw in the conformable calculus: it is conformable because it is not fractional, Fract. Calc. Appl. Anal. 22 (2019) 242-254.

2. T. Abdeljawad, M. Al Horani, R. Khalil, Conformable fractional semigroups of operators, J. Semigroup Theory Appl. Vol 2015 (2015), Article ID 7.

3. T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math. 279 (2015) 57-66.

4. Sh. Al-Sharif, R. Khalil, On the generator of two parameter semigroups, Appl. Math. Comput. 156 (2004) 403-414.

5. A. Blali, R. A. Hassani, A. El Amrani, M. El Beldi, Tensor product semigroups on locally convex spaces, Note Mat. 41 (2021) 31-60.

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