Ulam-Hyers stability of fractional impulsive differential equations
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Authors
Yali Ding
- School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P. R. China.
Abstract
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.
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ISRP Style
Yali Ding, Ulam-Hyers stability of fractional impulsive differential equations, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 8, 953--959
AMA Style
Ding Yali, Ulam-Hyers stability of fractional impulsive differential equations. J. Nonlinear Sci. Appl. (2018); 11(8):953--959
Chicago/Turabian Style
Ding, Yali. "Ulam-Hyers stability of fractional impulsive differential equations." Journal of Nonlinear Sciences and Applications, 11, no. 8 (2018): 953--959
Keywords
- Ulam-Hyers stability
- fractional order impulsive equation
- delay differential equation
MSC
References
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