Integration on time scales

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Higher-order self-adjoint boundary-value problems on time scales (2006, background): “For a more general treatment of the delta and nabla integrals see [14, Chapter 5] and [18].”
Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales (2016, neutral): “TheΔ-measureμΔ andΔ-integration are defined the same as those in [27].”
Basic properties of Sobolev's spaces on time scales (2006, result): “As a straightforward consequence of equality (2.1), one can deduce the following formula to calculate the Lebesgue Δ-integral; this formula was proved in [ 4 ], nevertheless, we remark that this argument is more simple than that.”
The Laplace transform on time scales revisited (2007, background): “In his initial work on the time scale Lebesgue integral, Guseinov [5] defines the Carathéodory extension of the set function that assigns each time scale interval its length to be the Lebesgue -measure on T.”