Answers are grounded in this paper and cite their sources.
In this paper we initiate the study of quantum calculus on finite intervals. We define the -derivative and -integral of a function and prove their basic properties. As an application, we prove existence and uniqueness results for initial value problems for first- and second-order impulsive -difference equations. MSC:26A33, 39A13, 34A37.
No takes yet. Share an insight, caveat, or question.
Tariboon et al. (2013) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: