2 citations · 5 across the 4 of their papers we have counts for
4 papers
On a New Class of Fractional Calculus of Variations and Related Fractional Differential Equations
Xiaobing Feng, Mitchell Sutton
This paper is concerned with analyzing a class of fractional calculus of variations problems and their associated Euler-Lagrange (fractional differential) equations. Unlike the exi…
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…
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…
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…