STUDY OF KIRCHHOFF CURVATURE PROBLEM WITH ψ-HILFER DERIVATIVE AND p(·)-LAPLACIAN OPERATOR

Source abstract

The paper focuses on the existence and multiplicity of weak solutions to nonlinear Kirchhoff-type equations involving ψ-Hilfer derivatives with p(⋅)-Laplacian operators and Dirichlet boundary conditions. Through the application of a critical point approach, along with genus theory and variational techniques, we establish the existence and multiplicity results within appropriate fractional ψ-Hilfer derivative spaces. Our novel main results contribute to the advancement of the literature on differential equations involving fractional ψ-Hilfer generalized curvature phenomena.