The rapid progress in homogeneous partial differential equations (PDEs) stems from their effectiveness in modeling diverse phenomena in applied sciences. However, classical models fall short for certain nonhomogeneous materials, such as electrorheological fluids. This limitation has spurred interest in PDEs within Orlicz-Sobolev and Musielak-Sobolev spaces, which are now well studied. More recently, fractional extensions of these spaces and their related PDEs have emerged, though many challenges remain. This session aims to gather leading experts to share recent results and discuss future directions in nonlocal and nonhomogeneous PDEs. Discipline scientifique :