Abstract
We develop the Benkhettou–Hassani–Torres fractional (noninteger order) calculus on timescales by proving two chain rules for the \(\alpha \)-fractional derivative and five inequalities for the \(\alpha \)-fractional integral. The results coincide with well-known classical results when the operators are of (integer) order \(\alpha = 1\) and the timescale coincides with the set of real numbers.
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Nwaeze, E.R., Torres, D.F.M. Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales. Arab. J. Math. 6, 13–20 (2017). https://doi.org/10.1007/s40065-016-0160-2
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DOI: https://doi.org/10.1007/s40065-016-0160-2