On asymptotic behavior for a class of diffusion equations involving the fractional $$\wp (\cdot )$$-Laplacian as $$\wp (\cdot )$$ goes to $$\infty $$

In this manuscript, we will study the asymptotic behavior for a class of nonlocal diffusion equations associated with weighted fractional $$\wp (\cdot )$$ -Laplacian operator involving constant/variable exponent, ^{-}:=\min _{(x,y) \in {\overline{\Omega }}\times }}} \wp (x,y)\geqslant \max \left\{ 2N/(N+2s),1\right\} $$ and $$s\in (0,1).$$ case constant exponents, under some appropriate conditions, existence solutions by employing subdifferential approach problem when goes to $$\infty . Already, operator, also solution , in whole or subset domain (the presents discontinuous exponent). To obtain results both problems it be via Mosco convergence.