Linear Fractional Diferential Equations Systems Sistemas Lineales de Ecuaciones Diferenciales Fraccionarias

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Erika González Nava
Martín P. Árciga Alejandre
Jorge Sánchez Ortiz
Jorge A. Morales Buenaventura

Resumo

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.

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Como Citar
González Nava, E., Árciga Alejandre, M. P., Sánchez Ortiz, J., & Morales Buenaventura, J. A. (2025). Linear Fractional Diferential Equations Systems: Sistemas Lineales de Ecuaciones Diferenciales Fraccionarias. Revista Digital Matemática, Educação E Internet, 25(2). https://doi.org/10.18845/rdmei.v25i2.7603
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