Abderachid Saadi
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Abderachid Saadi has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Mohamed Ourabah Benmeddour
Department of Mathematics, University of M’sila, University pole, M’sila, Algeria
2 shared publications M. O. Benmeddour
Univ Msila, Depertement Math, Box 166, Msila 28000, Algeria
1 shared publication- Mohamed Ourabah Benmeddour
Department of Mathematics, University of M’sila, University pole Road Bordj Bou Arreridj, M’sila 28000, Algeria
1 shared publication - Yacine Arioua
Laboratory for Pure and Applied Mathematics, University of M’sila, M’sila, Algeria
1 shared publication
Latest Publications
- Open Access
- 2 September 2026
- Published by Bukhtishu Publishing Group in Journal of Time Scales Analysis
- Vol. 2 (1) , 50-62
Two-Point Boundary Value Problem with $\psi$-Generalized Derivative
This paper investigates the existence and uniqueness of solutions for a class of $\psi-$ generalized fractional differential equations subject to nonhomogeneous boundary value conditions within the framework of fractional Sobolev spaces. We introduce a novel fractional Sobolev space tailored to the $\psi-$ generalized fractional operator and establish its fundamental properties. A variational formulation for the proposed boundary value problem is developed, and the existence and uniqueness of a weak solution are proved by applying Stampacchia's theorem.- 2 September 2026
- Published by Bukhtishu Publishing Group in Journal of Time Scales Analysis
- Vol. 2 (1) , 50-62
Open AccessTwo-Point Boundary Value Problem with $\psi$-Generalized Derivative
This paper investigates the existence and uniqueness of solutions for a class of $\psi-$ generalized fractional differential equations subject to nonhomogeneous boundary value conditions within the framework of fractional Sobolev spaces. We introduce a novel fractional Sobolev space tailored to the $\psi-$ generalized fractional operator and establish its fundamental properties. A variational formulation for the proposed boundary value problem is developed, and the existence and uniqueness of a weak solution are proved by applying Stampacchia's theorem. - 14 May 2025
- Published by Springer Nature in Arabian Journal of Mathematics
- Vol. 15 (1) , 129-142
Existence and uniqueness for $p-$Laplacian problem with $\psi -$ generalized fractional derivative- 14 May 2025
- Published by Springer Nature in Arabian Journal of Mathematics
- Vol. 15 (1) , 129-142
Existence and uniqueness for $p-$Laplacian problem with $\psi -$ generalized fractional derivative- 15 May 2024
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 47 (15) , 12350-12365
On the distributional fractional derivative: From unidimensional to multidimensional
In this paper, we use the generalized notions of Riemann–Liouville (fractional calculus with respect to a regular function) to extend the definitions of fractional integration and derivative from the functional sense to the distributional sense. First, we give some properties of fractional integral and derivative for the functions infinitely differentiable with compact support. Then, we define the weak derivative, as well as the integral and derivative of a distribution with compact support, and the integral and derivative of a distribution using the convolution product. Then, we generalize those concepts from the unidimensional to the multidimensional case. Finally, we propose the definitions of some usual differential operators.
- 15 May 2024
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 47 (15) , 12350-12365
On the distributional fractional derivative: From unidimensional to multidimensional
In this paper, we use the generalized notions of Riemann–Liouville (fractional calculus with respect to a regular function) to extend the definitions of fractional integration and derivative from the functional sense to the distributional sense. First, we give some properties of fractional integral and derivative for the functions infinitely differentiable with compact support. Then, we define the weak derivative, as well as the integral and derivative of a distribution with compact support, and the integral and derivative of a distribution using the convolution product. Then, we generalize those concepts from the unidimensional to the multidimensional case. Finally, we propose the definitions of some usual differential operators.
- Open Access
- 1 January 2024
- Published by Institute of Mathematics, Polish Academy of Sciences in Applicationes Mathematicae
- Vol. 51 (1) , 75-93
Spectral decomposition of the fractional Sturm–Liouville operator with $\rho $-generalized derivative
We study the $\rho $-generalized fractional version of the classical Sturm–Liouville operator. We establish the existence and uniqueness of a boundary value problem for this operator with homogeneous boundary conditions. Using this problem, we present a s
- 1 January 2024
- Published by Institute of Mathematics, Polish Academy of Sciences in Applicationes Mathematicae
- Vol. 51 (1) , 75-93
Open AccessSpectral decomposition of the fractional Sturm–Liouville operator with $\rho $-generalized derivative
We study the $\rho $-generalized fractional version of the classical Sturm–Liouville operator. We establish the existence and uniqueness of a boundary value problem for this operator with homogeneous boundary conditions. Using this problem, we present a s
- Open Access
- 9 August 2023
- Published by Wiley
On the distributional fractional derivative: from unidimensional to multidimensional
In this paper, we use the generalized notions of Riemann-Liouville (fractional calculus with respect to a regular function σ ) to extend the definitions of fractional integration and derivative from the functional sense to the distributional sense. First, we give some properties of fractional integral and derivative for the functions infinitely differentiable with compact support. Then, we define the weak derivative, as well as the integral and derivative of a distribution with compact support, the integral and derivative of a distribution using the convolution product. Then, we generalize those concepts from the unidimensional to the multidimensional case. Finally, we propose the definitions of some usual differential operators.
- 9 August 2023
- Published by Wiley
Open AccessOn the distributional fractional derivative: from unidimensional to multidimensional
In this paper, we use the generalized notions of Riemann-Liouville (fractional calculus with respect to a regular function σ ) to extend the definitions of fractional integration and derivative from the functional sense to the distributional sense. First, we give some properties of fractional integral and derivative for the functions infinitely differentiable with compact support. Then, we define the weak derivative, as well as the integral and derivative of a distribution with compact support, the integral and derivative of a distribution using the convolution product. Then, we generalize those concepts from the unidimensional to the multidimensional case. Finally, we propose the definitions of some usual differential operators.
- 1 March 2023
- Published by Institute of Mathematics, Academia Sinica in Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES
- Vol. 18 (1) , 61-83
Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative
- 1 March 2023
- Published by Institute of Mathematics, Academia Sinica in Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES
- Vol. 18 (1) , 61-83
Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative