Some new variants of interval-valued Gronwall type inequalities on time scales

Abstract

By using an efficient partial order and concept of gH-differentiability on<br />interval-valued functions, we investigate some new variants of Gronwall type<br />inequalities on time scales, which provide explicit bounds on unknown<br />functions. Our results not only unify and extend some continuous<br />inequalities, but also in discrete case, all are new.