In this paper, we consider by the first time the Aumann integral on time scales. Hence,
we introduce the Aumann △-integral on time scales. We also have established
properties for the Aumann △-integral on time scales. In particular, we obtain a
formula that relates the Aumann △-integral on time scales and the Aumann
Cabada, A. and Vivero, D.R. (2006) Expression of the Lebesgue △-Integral on Time Scales as a Usual Lebesgue Integral: Application to the Calculus of △-Antiderivatives. Mathematical and Computer Modelling, 43, 194-207.
Santos, I.L.D. and Silva, G.N. (2013) Absolute Continuity and Existence of Solutions to Dynamic Inclusions in Time Scales. Mathematische Annalen, 356, 373-399. https://doi.org/10.1007/s00208-012-0851-8