Abstract
Using the new definition of the $\mathcal{N}^{\alpha}_F$-derivative function introduced by Juan E. Nápoles Valdés and al. (2020), we provide a new definition for the
$\mathcal{N}^{\alpha}_F$-Sumudu transform, $\mathcal{N}^{\alpha}_F$-Sumudu conformable transform. Additionally, we establish several important results related to these new transforms.
We also give a new definition of convolution related to this $\mathcal{N}^{\alpha}_F$-derivative and we show that it is commutative and associative.
Key words: Conformable derivative, Sumudu transform.
Full Text
Article Information
| Title | New Definition of $\mathcal{N}^{\alpha}_F$-Sumudu conformable transform |
| Source | Methods Funct. Anal. Topology, Vol. 31 (2025), no. 4, 336-343 |
| DOI | 10.31392/MFAT-npu26_4.2025.04 |
| Milestones | Received 17/02/2025; Revised 13/09/2025 |
| 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
Citation Example
Bahloul Rachid and Rachad Houssame, New Definition of $\mathcal{N}^{\alpha}_F$-Sumudu conformable transform, Methods Funct. Anal. Topology 31
(2025), no. 4, 336-343.
BibTex
@article {MFAT2142,
AUTHOR = {Bahloul Rachid and Rachad Houssame},
TITLE = {New Definition of $\mathcal{N}^{\alpha}_F$-Sumudu conformable transform},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {31},
YEAR = {2025},
NUMBER = {4},
PAGES = {336-343},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_4.2025.04},
URL = {https://mfat.imath.kiev.ua/article/?id=2142},
}
