In Sections 2 and 3, we introduce some basic concepts concerning the calculus of time scales and discrete fractional calculus, respectively.
We refer to [6] for additional details concerning the calculus on time scales.
In this section we present some needed results from [13] concerning the calculus associated with (D_{beta}).
We suppose that the reader is familiar with the basic concepts concerning the calculus on time scales for dynamic equations.
Aczel's own entrance to the subject was an area of semantic modeling that he had been working on, concerning the calculus of communicating systems (CCS).
In Section 2, we exhibit the results that we need from [13], concerning the calculus based on the β-difference operator.
We collect here some important facts concerning symbolic calculus and the construction of parametrices for operators with symbols in (Gamma _{A_p,rho }^{*,infty }(mathbb R^{2d})).
It has two major branches: differential calculus (concerning rates of change and slopes of curves) and integral calculus (concerning accumulation of quantities and the areas under curves); these two branches are related to each other by the fundamental theorem of calculus.
He discussed the "extremely meager" fragments concerning the philosophical calculus.
We give a few traits concerning of fractional calculus [3, 14].
For the convenience of readers, we provide some basic concepts concerning the nabla calculus on time scales.
