Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.affiliationUniversidade de Santiago de Compostela. Instituto de Matemáticas
dc.contributor.authorBenchohra, Mouffak
dc.contributor.authorBouriah, Soufyane
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2020-03-31T09:49:23Z
dc.date.available2020-03-31T09:49:23Z
dc.date.issued2019
dc.description.abstractIn this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem. The arguments are based upon the Banach contraction principle and Schaefer’s fixed point theorem. An example is included to show the applicability of our resultsgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe research of J.J. Nieto has been partially supported by the AEI of Spain under Grant MTM2016-75140-P and co-financed by European Community fund FEDERgl
dc.identifier.citationBenchohra, M., Bouriah, S., & Nieto, J. J. (2019). Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative, Demonstratio Mathematica, 52(1), 437-450. doi: https://doi.org/10.1515/dema-2019-0032gl
dc.identifier.doi10.1515/dema-2019-0032
dc.identifier.essn2391-4661
dc.identifier.issn0420-1213
dc.identifier.urihttp://hdl.handle.net/10347/21019
dc.language.isoenggl
dc.publisherDe Gruytergl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.relation.publisherversionhttps://doi.org/10.1515/dema-2019-0032gl
dc.rights© 2019 Mouffak Benchohra et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 Licensegl
dc.rights.accessRightsopen accessgl
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectRiemann-Liouville fractional derivativegl
dc.subjectInitial value problemgl
dc.subjectExistencegl
dc.subjectUniquenessgl
dc.subjectUlam stabilitygl
dc.subjectFixed point theoremgl
dc.titleExistence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivativegl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2019_demmath_benchora_existence.pdf
Size:
405.76 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Estatística, Análise Matemática e Optimización