A unique weak solution for a kind of coupled system of fractional Schrödinger equations

A unique weak solution for a kind of coupled system of fractional Schrödinger equations

In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variab...

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Main Authors: Fatemeh Abdolrazaghi, Abdolrahman Razani
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2020-04-01
Series:Opuscula Mathematica
Subjects:
fractional laplacian
uniqueness
weak solution
nonlinear systems
Online Access:https://www.opuscula.agh.edu.pl/vol40/3/art/opuscula_math_4016.pdf
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spelling doaj-38fc02d2d3194259af14fb8646d0adcd2021-02-08T18:33:17ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742020-04-01403313322https://doi.org/10.7494/OpMath.2020.40.3.3134016A unique weak solution for a kind of coupled system of fractional Schrödinger equationsFatemeh Abdolrazaghi0https://orcid.org/0000-0002-3321-9450Abdolrahman Razani1https://orcid.org/0000-0002-3092-3530Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, IranDepartment of Pure Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, IranIn this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.https://www.opuscula.agh.edu.pl/vol40/3/art/opuscula_math_4016.pdffractional laplacianuniquenessweak solutionnonlinear systems
collection DOAJ
language English
format Article
sources DOAJ
author Fatemeh Abdolrazaghi
Abdolrahman Razani
spellingShingle Fatemeh Abdolrazaghi
Abdolrahman Razani
A unique weak solution for a kind of coupled system of fractional Schrödinger equations
Opuscula Mathematica
fractional laplacian
uniqueness
weak solution
nonlinear systems
author_facet Fatemeh Abdolrazaghi
Abdolrahman Razani
author_sort Fatemeh Abdolrazaghi
title A unique weak solution for a kind of coupled system of fractional Schrödinger equations
title_short A unique weak solution for a kind of coupled system of fractional Schrödinger equations
title_full A unique weak solution for a kind of coupled system of fractional Schrödinger equations
title_fullStr A unique weak solution for a kind of coupled system of fractional Schrödinger equations
title_full_unstemmed A unique weak solution for a kind of coupled system of fractional Schrödinger equations
title_sort unique weak solution for a kind of coupled system of fractional schrödinger equations
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2020-04-01
description In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.
topic fractional laplacian
uniqueness
weak solution
nonlinear systems
url https://www.opuscula.agh.edu.pl/vol40/3/art/opuscula_math_4016.pdf
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