Yazar "Elomari, M’hamed" için listeleme
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Existence and uniqueness results for fuzzy boundary value problems of nonlinear differential equations involving Atangana-Baleanu fractional derivatives
Zamtain, Fouziya; Elomari, M’hamed; Melliani, Said; El Mfadel, Ali (Işık University Press, 2024-04)This manuscript is devoted to the investigation of the existence and uniqueness results for fuzzy fractional boundary value problems of some nonlinear differential equations involving fuzzy Atangana-Baleanu fractional ... -
Generalized solutions for fractional Schrödinger equation
Benmerrous, Abdelmjid; Chadli, Lalla Saadia; Moujahid, Abdelaziz; Elomari, M’hamed; Melliani, Said (Işık University Press, 2024-10)This paper focuses on the fractional Schr¨odinger problem with the use of a new fractional derivative. Using Banach’s fixed point theorem and Laplace transforms, we give and prove the integral solution of the problem. In ... -
On a fractional wave equation with singular initial data
Benmerrous, Abdelmjid; Chadli, Lalla Saadia; Moujahid, Abdelaziz; Elomari, M’hamed (Işık University Press, 2025-01)This paper focuses on the time fractional wave equation with the use of conformable derivative D(α) for 1 < α < 2 which we will prove to be inside Colombeau algebra, the initial data are singular distibution. Nets of ... -
Solving higher-order fuzzy differential equations via laplace residual power series approach
El Ghazouani, Aziz; Elomari, M’hamed; Melliani, Said (Işık University Press, 2025-02-01)In this paper, we have applied a new method called Laplace residual power series method (LRPSM) introduced by (T. Eriqate et. al. ) for solving n-order fuzzy linear differential equations. The algorithm gains powerful ... -
Study of some evolution equations involving Riesz fractional derivative with singular initial data
Chaib, Mohamed; Taqbibt, Abdellah; Elomari, M’hamed; Melliani, Said (Işık University Press, 2025-02-01)The objective of this work is to study some evolution problems involving the Riesz fractional derivative with singular initial data which can be distributions. It is a question of proving the existence and uniqueness of ...
