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20122022
most citedA new theory of fractional differential calculus and fractional Sobolev spaces: One-dimensional case

2 citations · 12 across the 14 of their papers we have counts for

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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…