A nonlocal singular problem in fractional Musielak spaces

A combination of variational methods and the sub-supersolution technique is employed to establish the existence and multiplicity of solutions for a class of nonlocal singular problems. Several difficulties arise from the presence of the singular term and the nonhomogeneous nature of the fractional \(m_{x,y}\) $m_{x,y}$ -Laplacian operator, these challenges are successfully overcome through the proposed approach. This work is devoted to the study of a singular problem in fractional Musielak–Sobolev spaces.