Geodesic
Ulam-Hyers stability of fractional impulsive differential equations
Ding, Yali 1
1 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P. R. China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 8, p. 953-959.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we first prove the existence and uniqueness for a fractional differential equation with time delay and finite impulses on a compact interval. Secondly, Ulam-Hyers stability of the equation is established by Picard operator and abstract Gronwall's inequality.
DOI : 10.22436/jnsa.011.08.02
Classification : 26A33, 45N05
Keywords: Ulam-Hyers stability, fractional order impulsive equation, delay differential equation

Ding, Yali  1

1 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P. R. China 
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Ding, Yali . Ulam-Hyers stability of fractional impulsive differential equations. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 8, p. 953-959. doi : 10.22436/jnsa.011.08.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.08.02/

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