Sentence examples for fractional sums from inspiring English sources
Some contributions have been small — symbolic, fractional sums of the total — while others have totaled thousands of dollars.
(Integration by parts for the fractional sums with ML kernels).
Indeed, the following two lemmas are dual relations between the delta left fractional sums (differences) and the nabla left fractional sums (differences).
Abdeljawad [1] defined left and right Caputo fractional sums and differences, studied some of their properties.
Actually, the nabla fractional sums defined in this article and those in [24] are related.
In 2009, Atici and Eloe [3] introduced methods for composing fractional sums and differences.
It is defined by first defining a fractional sum.
(The new right fractional sum with ML kernel).
Holm [2] introduced the fractional sum and difference operators.
Some basic properties of a right fractional sum and right fractional difference operators are proved.
