Linear Fractional Diferential Equations Systems: Sistemas Lineales de Ecuaciones Diferenciales Fraccionarias

 

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Autors: González Nava, Erika, Árciga Alejandre, Martín P., Sánchez Ortiz, Jorge, Morales Buenaventura, Jorge A.
Format: artículo original
Estat:Versión publicada
Data de publicació:2025
Descripció:This paper focuses on the qualitative and quantitative description of solutions for linear systems of differential equations with fractional order. The Laplace transform and the Mittag-Leffler function are the main tools used to find such solutions. As in the ordinary case, the eigenvalues determine the stability of the system via a condition depending on the order of the fractional derivative. Finally, a fundamental theorem for linear fractional systems is proved, and some particular examples are given.
Pais:Portal de Revistas TEC
Institution:Instituto Tecnológico de Costa Rica
Repositorio:Portal de Revistas TEC
Idioma:Español
OAI Identifier:oai:ojs.pkp.sfu.ca:article/7603
Accés en línia:https://revistas.tec.ac.cr/index.php/matematica/article/view/7603