Fractional Elliptic Problem With Two Non-Local Terms Involving r(ξ)-Laplacian
Keywords:
Fractional Elliptic Equation, ψ-Hilfer Fractional Derivative, Existence of Solutions, Mountain Pass Theorem, Ekeland Variational Principle.Abstract
In this present paper, we are interested in investigating the existence of weak solutions for a new class of
fractional partial differential equations with Laplacian involving the Kirchhoff-type equation in the space fractional , via Mountain Pass Theorem and Ekeland Variational Principle. The idea is to discuss the existence of a weak solution uκ for κ > 0 and a positive solution uκ for κ ∈ (0, κ*) for κ* > 0.
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