MULTIPLE SOLUTIONS FOR NONLOCAL FRACTIONAL KIRCHHOFF TYPE PROBLEMS.

In this paper, using variational methods and critical point theory, we establish the existence of two and infinitely many solutions for a fractional Kirchhoff type problem driven by a nonlocal operator of elliptic type in a fractional Orlicz-Sobolev space with homogeneous Dirichlet boundary conditions. Some examples are presented to demonstrate the application of our main results. [ABSTRACT FROM AUTHOR]