Search

Your search keyword '"ELOMARI, M'HAMED"' showing total 2 results
Start Over Author "ELOMARI, M'HAMED" Topic theory of distributions (functional analysis)
2 results on '"ELOMARI, M'HAMED"'

1. Solving the Fractional Schrödinger Equation with Singular Initial Data in the Extended Colombeau Algebra of Generalized Functions.

Author

El Mfadel, Ali, Melliani, Said, Taqbibt, Abdellah, and Elomari, M'hamed

Subjects
THEORY of distributions (Functional analysis), FUNCTION algebras, GRONWALL inequalities, ARTICLES of incorporation, SCHRODINGER equation
Abstract

This manuscript aims to highlight the existence and uniqueness results for the following Schrödinger problem in the extended Colombeau algebra of generalized functions. 1 / ı ∂ / ∂ t u t , x − △ u t , x + v x u t , x = 0 , t ∈ R + , x ∈ R n , v x = δ x , u 0 , x = δ x , where δ is the Dirac distribution. The proofs of our main results are based on the Gronwall inequality and regularization method. We conclude our article by establishing the association concept of solutions. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
View/download PDF

2. GENERALIZED SOLUTIONS FOR FRACTIONAL CAUCHY PROBLEM.

Author

MELLIANI, SAID, MOUJAHID, AZIZ, CHADLI, LALLA SAADIA, and ELOMARI, M'HAMED

Subjects
*THEORY of distributions (Functional analysis), *ALGEBRA, *FUNCTIONAL analysis, *FUNCTIONALS, *CAUCHY problem, *FRACTIONAL calculus
Abstract

In this paper, we present the new extension of Colombeau algebra of generalized functions construct by Mirjana Stojanovic. After we proved the existence and uniqueness of Cauchy problems with fractional derivatives in the Colombeau algebra. [ABSTRACT FROM AUTHOR]

Published
2016

Catalog

Books, media, physical & digital resources
See catalog results