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Existence of three solutions for perturbed nonlinear fractional p-Laplacian boundary value systems with two control parameters

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In this paper, we use two control parameters to study a class of perturbed nonlinear fractional p-Laplacian differential systems, where we prove the existence of three weak solutions by using… Click to show full abstract

In this paper, we use two control parameters to study a class of perturbed nonlinear fractional p-Laplacian differential systems, where we prove the existence of three weak solutions by using the variational method and Ricceri’s critical points theorems respecting some necessary conditions on the primitive function of nonlinear terms $$F_{u}$$ and $$F_{v}$$ .

Keywords: fractional laplacian; two control; perturbed nonlinear; nonlinear fractional; existence three; control parameters

Journal Title: Journal of Pseudo-differential Operators and Applications
Year Published: 2020

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