Asymptotic stability in delay nonlinear fractional differential equations

Abdelouaheb Ardjouni, Hamid Boulares, Ahcene Djoudi

Resumen


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 . 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.

Palabras clave


Delay fractional differential equations; fixed point theory; asymptotic stability; ecuaciones diferenciales fraccionarias; teoría de punto fijo; estabilidad asintótica.

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172016000300004

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