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New concepts of Hahn calculus and impulsive Hahn difference equations
2016
Advances in Difference Equations
In this paper, we introduce new concepts of Hahn difference operator, the q k , ω k -Hahn difference operator. We aim to establish a calculus of differences based on the q k , ω k -Hahn difference operator. We construct a right inverse of the q k , ω k -Hahn operator and study some of its properties. As applications, we establish existence and uniqueness results for first-and second-order impulsive q k , ω k -Hahn difference equations. MSC: 34A08; 34A12; 34A60; 39A10; 39A13 Keywords: Hahn
doi:10.1186/s13662-016-0982-4
fatcat:5yqxk34lurgbvfgyqrresfxixe