2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.FA2020★ 1 cited
On New Families of Fractional Sobolev Spaces
Xiaobing Feng, Mitchell Sutton
This paper presents three new families of fractional Sobolev spaces and their accompanying theory in one-dimension. The new construction and theory are based on a newly developed n…
math.FA2020★ 2 cited
A new theory of fractional differential calculus
Xiaobing Feng, Mitchell Sutton
This paper presents a self-contained new theory of weak fractional differential calculus in one-dimension. The crux of this new theory is the introduction of a weak fractional deri…
math.CA2020★ 2 cited
A new theory of fractional differential calculus and fractional Sobolev spaces: One-dimensional case
Xiaobing Feng, Mitchell Sutton
This paper presents a self-contained new theory of weak fractional differential calculus and fractional Sobolev spaces in one-dimension. The crux of this new theory is the introduc…