On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorAhmad, Bashir
dc.contributor.authorAlghanmi, Madeaha
dc.contributor.authorNieto Roig, Juan José
dc.contributor.authorAlsaedi, Ahmed
dc.date.accessioned2020-04-06T08:45:13Z
dc.date.available2020-04-06T08:45:13Z
dc.date.issued2019
dc.description.abstractIn this paper, we present sufficient criteria ensuring the existence and uniqueness of solutions for nonlinear impulsive multi-order Caputo-type generalized fractional differential equations supplemented with nonlocal integro-initial value conditions involving generalized fractional integrals. Extremal solutions for the given problem are also discussed. The main tools of our study include Krasnoselskii’s fixed point theorem, Banach contraction mapping principle and monotone iterative technique. Examples are constructed for illustrating the obtained resultsgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThis project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant no. (RG-1-130-39)gl
dc.identifier.citationAhmad, B., Alghanmi, M., Nieto, J.J. et al. On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals. Adv Differ Equ 2019, 247 (2019). https://doi.org/10.1186/s13662-019-2183-4gl
dc.identifier.doi10.1186/s13662-019-2183-4
dc.identifier.essn1687-1847
dc.identifier.urihttp://hdl.handle.net/10347/21167
dc.language.isoenggl
dc.publisherSpringergl
dc.relation.publisherversionhttps://doi.org/10.1186/s13662-019-2183-4gl
dc.rights© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/),which permits unrestricted use, distribution, and reproduction in anymedium, providedyou give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madegl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectMulti-order fractional derivativesgl
dc.subjectImpulsegl
dc.subjectCaputo-type generalized fractional derivativegl
dc.subjectFractional integralgl
dc.subjectExtremal solutionsgl
dc.titleOn impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integralsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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