dc.creator | Castillo, René Erlín | |
dc.creator | Sultan, Babar | |
dc.date | 2022-12-21 | |
dc.identifier | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3213 | |
dc.identifier | 10.56754/0719-0646.2403.0521 | |
dc.description | In 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.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
dc.relation | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3213/2264 | |
dc.rights | Copyright (c) 2022 R. E. Castillo et al. | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 24 No. 3 (2022); 521–539 | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 24 Núm. 3 (2022); 521–539 | es-ES |
dc.source | 0719-0646 | |
dc.source | 0716-7776 | |
dc.subject | Fractional Derivative | en-US |
dc.subject | boundary value problem | en-US |
dc.subject | Hammerstein-Volterra integral equation | en-US |
dc.title | A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |