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Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations

dc.creatorArdjouni, Abdelouaheb
dc.date2021-01-13
dc.date.accessioned2021-04-08T15:40:07Z
dc.date.available2021-04-08T15:40:07Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4350
dc.identifier10.22199/issn.0717-6279-2021-01-0009
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/165155
dc.descriptionWe prove the existence and uniqueness of a positive solution of nonlinear Caputo-Hadamard fractional differential equations. In the process we employ the Schauder and Banach fixed point theorems and the method of upper and lower solutions to show the existence and uniqueness of a positive solution. Finally, an example is given to illustrate our results.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4350/3659
dc.rightsCopyright (c) 2021 Abdelouaheb Ardjounien-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 40 No. 1 (2021); 139-152en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 40 Núm. 1 (2021); 139-152es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2021-01
dc.subjectFractional differential equationsen-US
dc.subjectPositive solutionsen-US
dc.subjectUpper and lower solutionsen-US
dc.subjectExistenceen-US
dc.subjectUniquenessen-US
dc.subjectFixed point theoremsen-US
dc.subject26A33en-US
dc.subject34A12en-US
dc.subject34G20en-US
dc.titleExistence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equationsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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