General fractional Sobolev Space with variable exponent and applications to nonlocal problems

Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Shimi

In this paper, we extend the fractional Sobolev spaces with variable exponents $W^{s,p(x,y)}$ to include the general fractional case $W^{K,p(x,y)}$, where $p$ is a variable exponen…