Mostrar el registro sencillo del ítem
dc.contributor.author | Burgos-Simon, Clara![]() |
es_ES |
dc.contributor.author | Caraballo, Tomás![]() |
es_ES |
dc.contributor.author | Cortés, J.-C.![]() |
es_ES |
dc.contributor.author | Villafuerte, Laura![]() |
es_ES |
dc.contributor.author | Villanueva Micó, Rafael Jacinto![]() |
es_ES |
dc.date.accessioned | 2024-07-05T18:11:46Z | |
dc.date.available | 2024-07-05T18:11:46Z | |
dc.date.issued | 2023-04-01 | es_ES |
dc.identifier.issn | 2238-3603 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/205811 | |
dc.description.abstract | [EN] We extend the study of the random Hermite second-order ordinary differential equation to the fractional setting. We first construct a random generalized power series that solves the equation in the mean square sense under mild hypotheses on the random inputs (coefficients and initial conditions). From this representation of the solution, which is a parametric stochastic process, reliable approximations of the mean and the variance are explicitly given. Then, we take advantage of the random variable transformation technique to go further and construct convergent approximations of the first probability density function of the solution. Finally, several numerically simulations are carried out to illustrate the broad applicability of our theoretical findings. | es_ES |
dc.description.sponsorship | This work has been supported by the grant PID2020-115270GB-I00 funded by MCIN/AEI/10.13039/501100011033 (Spanish "Agencia Estatal de Investigacion"), the grant AICO/2021/302 (Generalitat Valenciana) and the posdoctoral grant from Universitat Politecnica de Valencia Margarita Salas funded by the Spanish Ministry of Universities and Next-Generation, EU. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer-Verlag | es_ES |
dc.relation.ispartof | Computational and Applied Mathematics | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Random fractional Hermite differential equation | es_ES |
dc.subject | Random mean square calculus | es_ES |
dc.subject | Statistical moments | es_ES |
dc.subject | First probability density function | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Constructing reliable approximations of the fractional Hermite equation: solution, moments and density | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s40314-023-02274-1 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115270GB-I00/ES/ECUACIONES DIFERENCIALES ALEATORIAS. CUANTIFICACION DE LA INCERTIDUMBRE Y APLICACIONES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UNIVERSIDAD POLITECNICA DE VALENCIA//MS%2F26//AYUDA MARGARITA SALAS DE BURGOS SIMÓN, CLARA/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//AICO%2F2021%2F302//Métodos Computacionales para Ecuaciones Diferenciales Aleatorias. Aplicación a Sistemas Vibratorios/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Facultad de Administración y Dirección de Empresas - Facultat d'Administració i Direcció d'Empreses | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería Geodésica, Cartográfica y Topográfica - Escola Tècnica Superior d'Enginyeria Geodèsica, Cartogràfica i Topogràfica | es_ES |
dc.description.bibliographicCitation | Burgos-Simon, C.; Caraballo, T.; Cortés, J.; Villafuerte, L.; Villanueva Micó, RJ. (2023). Constructing reliable approximations of the fractional Hermite equation: solution, moments and density. Computational and Applied Mathematics. 42(3). https://doi.org/10.1007/s40314-023-02274-1 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s40314-023-02274-1 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 42 | es_ES |
dc.description.issue | 3 | es_ES |
dc.relation.pasarela | S\484879 | es_ES |
dc.contributor.funder | European Commission | es_ES |
dc.contributor.funder | GENERALITAT VALENCIANA | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | UNIVERSIDAD POLITECNICA DE VALENCIA | es_ES |