A modern theory of integration

By R. Bartle. 2001

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The Integral: An Easy Approach after Kurzweil and Henstock (2001, background): “Other good sources are Gordon [7], which covers much of the same material from a somewhat different perspective, and the forthcoming book of Bartle [3].”
Calculus on fractal subsets of real line - I: formulation (2003, methodology): “ by parts etc. have analogues in this calculus. Speciﬁcally we have adopted Riemann approach for Fα-integrations. This approach can possibly be generalised using Kurzweil-Henstock integration schemes [40, 41]. Work is in progress in this direction. In the process of the developement of the Fα-integr”
Fractional boundary value problems with singularities in space variables (2012, unknown): “The following result is the Vitali convergent theorem [35, 36].”
Henstock-Kurzweil Fourier transforms (2002, methodology): “The main points of HK integration that we use can be found in [1] and [10].”