Some stability concepts for abstract fractional differential equations with not instantaneous impulses


	Open access
	Some stability concepts for abstract fractional differential equations with not instantaneous impulses


	Fixed Point Theory, Volume 18, No. 1, 2017, 3-16, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.01 Authors: Saïd Abbas, Mouffak Benchohra, Ahmed Alsaedi and Yong Zhou Abstract: In this paper, we investigate some uniqueness and Ulam's type stability concepts for functional abstract fractional differential equations with not instantaneous impulses in Banach spaces. Key Words and Phrases: abstract fractional differential equation, mild solution, impulse, Ulam-Hyers-Rassias stability, fixed point theorems. 2010 Mathematics Subject Classification: 26A33, 34A37, 34D10, 47H10. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents