Asymptotic stability in delay nonlinear fractional differential equations
In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of delay nonlinear fractional differential equations of order <img src="http:/fbpe/img/proy/v35n3/art4_fig1.jpg" width="85" height="11">. By using the...
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Autores principales: | , , |
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Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2016
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Materias: | |
Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300004 |
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Sumario: | In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of delay nonlinear fractional differential equations of order <img src="http:/fbpe/img/proy/v35n3/art4_fig1.jpg" width="85" height="11">. By using the Banach’s contraction mapping principle in a weighted Banach space, we establish new results on the asymptotic stability of the zero solution provided that g (t, 0) = f (t, 0, 0) = 0, which include and improve some related results in the literature. |
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