Resumen de Existence and Multiplicity of Solutions for Fractional ()-Kirchhoff-Type Equation

J. Vanterler da C. Sousa, Kishor D. Kucche, Juan José Nieto Roig

• 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 Hμ,ν; ψ κ(ξ ) (). In this sense, we present a few special cases and remark on the outcomes explored.