Quantum calculus on finite intervals and applications to impulsive difference equations
Quantum calculus on finite intervals and applications to impulsive difference equations
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.