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dc.creatorCastillo, René Erlín
dc.creatorSultan, Babar
dc.date2022-12-21
dc.identifierhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3213
dc.identifier10.56754/0719-0646.2403.0521
dc.descriptionIn this paper we introduce an operator that can be thought as a derivative of variable order, i.e. the order of the derivative is a function. We prove several properties of this operator, for instance, we obtain a generalized Leibniz‘s formula, Rolle and Cauchy‘s mean theorems and a Taylor type polynomial. Moreover, we obtain its inverse operator. Also, with this derivative we analyze the existence of solutions of a nonlinear three-point boundary value problem of “variable order” .en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3213/2264
dc.rightsCopyright (c) 2022 R. E. Castillo et al.en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 No. 3 (2022); 521–539en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 Núm. 3 (2022); 521–539es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectFractional Derivativeen-US
dc.subjectboundary value problemen-US
dc.subjectHammerstein-Volterra integral equationen-US
dc.titleA derivative-type operator and its application to the solvability of a nonlinear three point boundary value problemen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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