B. Rachid

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Articles: 2

New Definition of $\mathcal{N}^{\alpha}_F$-Sumudu conformable transform

Bahloul Rachid, Rachad Houssame

↓ Abstract   |   Article (.pdf)

MFAT 31 (2025), no. 4, 336-343

336-343

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.

$\mathcal{N}^{\alpha}_F$-fractional semi-groups of operators

Bahloul Rachid, Rachad Houssame, Thabet Abdeljawad

↓ Abstract   |   Article (.pdf)

MFAT 31 (2025), no. 1, 39-46

39-46

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.


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