To make the article self-content, here we mention certain basic definitions of q-calculus, details can be found in [8, 9] and the other recent articles.
Now we begin our work based on theory of fractional calculus; for details of the definitions and semigroup properties of Riemann-Liouville fractional calculus, one refers to [15 17].
We refer to the standard literature on pseudo-differential calculus for details (see for instance [18,21,23,49,54,58]); a nice review accessible to non-specialists is given by Littlejohn in [44].
We refer the reader also to the interesting book [12] by Kac and Cheung who presented the q-calculus and the ω-calculus in details, associated with the difference operators (D_{q}) and (D_{omega }), respectively.
Despite the increasing prevalence of the disease in China, little research is available for indicating the mechanism and prophylaxis for renal calculus in detail.
Here we recall definition and basic results of fractional calculus; for more details, we refer to [32].
A number of papers have appeared which build the theoretical foundations of discrete fractional calculus (for more details, we refer the reader to [3 8] and the references therein).
This is a consequence of a popular doctrine in the epistemology of credences called Probabilism, which says that our credences at a given time ought to satisfy the axioms of the probability calculus (given in detail below).
In this section, we recall briefly some basic theory of local fractional calculus, and for more details, see [32 36, 49 52].
After the development of quantum calculus (q-calculus; for details, see [1, 4]), A. Lupaş was the first person who gave a new generalization of the Bernstein polynomials based on q-integers as follows: [5] Let f∈C[0,1].
