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Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions

dc.creatorBoukehila, Ahcene
dc.date2021-09-29
dc.date.accessioned2021-10-04T15:13:10Z
dc.date.available2021-10-04T15:13:10Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4271
dc.identifier10.22199/issn.0717-6279-4271
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/177055
dc.descriptionIn this work we investigate the existence and uniqueness of solutions of boundary value problems for fractional differential equations involving the Caputo fractional derivative with integral conditions and the nonlinear term depends on the fractional derivative of an unknown function. Our existence results are based on Banach contraction principle and Schauder fixed point theorem. Two examples are provided 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/4271/3907
dc.rightsCopyright (c) 2021 Ahcene Boukehilaen-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 40 No. 5 (2021); 1117-1135en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 40 Núm. 5 (2021); 1117-1135es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2021-05
dc.subjectFractional differential equationen-US
dc.subjectGreen's functionen-US
dc.subjectBanach contraction principleen-US
dc.subjectSchauder fixed point theoremen-US
dc.subject26A33en-US
dc.subject34B15en-US
dc.subject34B27en-US
dc.titleExistence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditionsen-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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