On the n-ary variable-order alpha(t)-derivative calculus (or (n, alpha(t))-VOC)

Akbar Dehghan nezhad, Arezoo Moslemi Gadhikolaeia

Abstract


In this paper, we generalize the definition of an $n$-ary variable-order alpha(t)-derivative of multi-variable vector-valued functions. We develop the concepts in this new alpha(t)-derivative calculus. We will touch only a few aspects of the theory. Finally, the fundamental theorems ( Chain Rule, Mean Value ) on (n, alpha(t))-VOC are investigated.

Keywords


alpha (t)-derivative, (n, alpha(t))-VOC, fractional calculus.

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