Asymptotic stability in delay nonlinear fractional differential equations



Document title: Asymptotic stability in delay nonlinear fractional differential equations
Journal: Proyecciones (Antofagasta)
Database: PERIÓDICA
System number: 000406111
ISSN: 0716-0917
Authors: 1
2
2
Institutions: 1University of Souk Ahras, Faculty of Sciences and Technology, Souk Ahras. Argelia
2University of Annaba, Faculty of Sciences, Annaba. Argelia
Year:
Season: Sep
Volumen: 35
Number: 3
Pages: 263-275
Country: Chile
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract 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 α (1 <α< 2). 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
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Matemáticas puras,
Ecuaciones diferenciales,
Teoría de la estabilidad,
Espacios de Banach
Keyword: Mathematics,
Applied mathematics,
Pure mathematics,
Differential equations,
Stability theory,
Banach spaces
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