‎A m‎ultiplicity‎ result for a multi-parameter fractional ‎‎$‎p(x,.)‎$‎-Kirchhoff type ‎‎‎problem‎

This paper studies ‎a‎ fractional ‎‎$‎p(x,.)‎$‎-Kirchhoff ‎type ‎equation ‎involving‎ two ‎parameters. ‎‎‎‎‎By utilizing ‎a ‎specie‎ of three critical point ‎theorem‎‎, ‎we achieve new multiplicity result for the ‎equation‎ in a suitable function ‎space.‎Kirchhoff type problems, Fractional p(x, .)-Laplacian operator, Three critical point theorem, Generalized fractional Sobolev spaces.