GENERALIZED SOLUTIONS FOR FRACTIONAL SCHRODINGER EQUATION

This paper focuses on the fractional Schrodinger 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 Colombeau's algebra, The existence and uniqueness of the solution are...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2024-09, Vol.14 (4), p.1361
Main Authors: Benmerrous, A, Chadli, L.S, Moujahid, A, Elomari, M, Melliani, S
Format: Article
Language:English
Subjects:
Algebra
Differential equations
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Summary:This paper focuses on the fractional Schrodinger 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 Colombeau's algebra, The existence and uniqueness of the solution are demonstrated using the Gronwall lemma. Keywords: Schrodinger problem, Distributions, Colombeau algebra, [psi]--Caputo derivative, Laplace transforms. AMS Subject Classification: 46F30, 35Q55, 35D05, 46F05, 35G25.
ISSN:2146-1147