Existence of solutions to a Kirchhoff <i>ψ</i>‐Hilfer fractional <i>p</i>‐Laplacian equations
Roozbeh Ezati, Nemat Nyamoradi
Abstract
In this paper, using the genus properties in critical point theory, we study the existence and multiplicity of solutions to the following Kirchhoff ψ ‐Hilfer fractional p ‐Laplacian: where and are ψ ‐Hilfer fractional derivatives left‐sided and right‐sided of order 1/ p < α < 1, a , b > 0 are constants, 0 ≤ β ≤ 1 and and are ψ ‐Riemann–Liouville fractional integrals left‐sided and right‐sided, and is a continuous function.
Topics & Concepts
MathematicsMultiplicity (mathematics)Fractional LaplacianOrder (exchange)Mathematical analysisLaplace operatorFractional calculusp-LaplacianMathematical physicsPure mathematicsEconomicsFinanceBoundary value problemFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNonlinear Partial Differential Equations