Abstract
Based on the new definition of the $\mathcal{N}^{\alpha}_F$-derivative function introduced by Juan E. Nápoles Valdes et al. (2020) in [1], we give a new definition and some results of the $\mathcal{N}^{\alpha}_F$-fractional semi-groups of operators.
Key words: Conformable derivative, $\mathcal{N}^{\alpha}_F$-derivative, $\mathcal{N}^{\alpha}_F$-Semigroup.
Full Text
Article Information
| Title | $\mathcal{N}^{\alpha}_F$-fractional semi-groups of operators |
| Source | Methods Funct. Anal. Topology, Vol. 31 (2025), no. 1, 39-46 |
| DOI | 10.31392/MFAT-npu26_1.2025.04 |
| Milestones | Received 04/12/2024; Revised 21/01/2025 |
| Copyright | The Author(s) 2025 (CC BY-SA) |
Authors Information
Bahloul Rachid
Department of Mathematics, polidisciplinary faculty, Sultan Moulay Slimane University, Beni Mellal, Morocco
Rachad Houssame
Department of Mathematics, polidisciplinary faculty, Sultan Moulay Slimane University, Beni Mellal, Morocco
Thabet Abdeljawad
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Citation Example
Bahloul Rachid, Rachad Houssame, and Thabet Abdeljawad, $\mathcal{N}^{\alpha}_F$-fractional semi-groups of operators, Methods Funct. Anal. Topology 31
(2025), no. 1, 39-46.
BibTex
@article {MFAT2097,
AUTHOR = {Bahloul Rachid and Rachad Houssame and Thabet Abdeljawad},
TITLE = {$\mathcal{N}^{\alpha}_F$-fractional semi-groups of operators},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {31},
YEAR = {2025},
NUMBER = {1},
PAGES = {39-46},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_1.2025.04},
URL = {https://mfat.imath.kiev.ua/article/?id=2097},
}
