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arXiv · 1611.09049

Chain rules and inequalities for the BHT fractional calculus on arbitrary time scales

Eze R. Nwaeze·Delfim F. M. Torres
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Abstract

We develop the Benkhettou-Hassani-Torres fractional (noninteger order) calculus on time scales by proving two chain rules for the $α$-fractional derivative and five inequalities for the $α$-fractional integral. The results coincide with well-known classical results when the operators are of (integer) order $α= 1$ and the time scale coincides with the set of real numbers.

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Eze R. Nwaeze, Delfim F. M. Torres. 2016-11-28. Chain rules and inequalities for the BHT fractional calculus on arbitrary time scales. https://doi.org/10.1007/s40065-016-0160-2

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