Existence and Multiplicity of Solutions for Fractional κ(ξ)-Kirchhoff-Type Equation.

In this paper, we aim to tackle the questions of existence and multiplicity of solutions to a new class of κ (ξ) -Kirchhoff-type equation utilizing a variational approach. Further, we research the results from the theory of variable exponent Sobolev spaces and from the theory of space ψ -fractional H κ (ξ) μ , ν ; ψ (Λ) . In this sense, we present a few special cases and remark on the outcomes explored. [ABSTRACT FROM AUTHOR]