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On the inverse of the Caputo matrix exponential

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On the inverse of the Caputo matrix exponential

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dc.contributor.author Defez Candel, Emilio es_ES
dc.contributor.author Tung, Michael Ming-Sha es_ES
dc.contributor.author Chen-Charpentier, Benito M. es_ES
dc.contributor.author Alonso Abalos, José Miguel es_ES
dc.date.accessioned 2020-04-01T07:15:27Z
dc.date.available 2020-04-01T07:15:27Z
dc.date.issued 2019-12 es_ES
dc.identifier.uri http://hdl.handle.net/10251/139924
dc.description.abstract [EN] Matrix exponentials are widely used to efficiently tackle systems of linear differential equations. To be able to solve systems of fractional differential equations, the Caputo matrix exponential of the index a > 0 was introduced. It generalizes and adapts the conventional matrix exponential to systems of fractional differential equations with constant coefficients. This paper analyzes the most significant properties of the Caputo matrix exponential, in particular those related to its inverse. Several numerical test examples are discussed throughout this exposition in order to outline our approach. Moreover, we demonstrate that the inverse of a Caputo matrix exponential in general is not another Caputo matrix exponential. es_ES
dc.description.sponsorship This work has been partially supported by Spanish Ministerio de Economia y Competitividad and European Regional Development Fund (ERDF) grants TIN2017-89314-P and by the Programa de Apoyo a la Investigacion y Desarrollo 2018 of the Universitat Politecnica de Valencia (PAID-06-18) grant SP20180016. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation UPV/PAID-06-18 es_ES
dc.relation AEI-FEDER/TIN2017-89314-P-AR es_ES
dc.relation UPV-VIN/SP20180016 es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Caputo matrix exponential es_ES
dc.subject Matrix inverse es_ES
dc.subject Fractional derivative es_ES
dc.subject Mittag-Leffler matrix function es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.subject.classification CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL es_ES
dc.title On the inverse of the Caputo matrix exponential es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math7121137 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Sistemas Informáticos y Computación - Departament de Sistemes Informàtics i Computació es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Defez Candel, E.; Tung, MM.; Chen-Charpentier, BM.; Alonso Abalos, JM. (2019). On the inverse of the Caputo matrix exponential. Mathematics. 7(12):1-11. https://doi.org/10.3390/math7121137 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math7121137 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 11 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7 es_ES
dc.description.issue 12 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\397942 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Universitat Politècnica de València es_ES


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