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Multiple positive solutions for perturbed nonlinear fractional differential system with two control parameters

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In this paper, we study a class of perturbed nonlinear fractional differential systems with two control parameters. Under some appropriate conditions on the primitive function of nonlinear terms Fu$F_{u}$ and… Click to show full abstract

In this paper, we study a class of perturbed nonlinear fractional differential systems with two control parameters. Under some appropriate conditions on the primitive function of nonlinear terms Fu$F_{u}$ and Fv$F_{v}$, we prove the multiplicity of weak solutions by using the variational method and Ricceri’s critical points theorems.

Keywords: fractional differential; nonlinear fractional; control parameters; two control; perturbed nonlinear

Journal Title: Advances in Difference Equations
Year Published: 2019

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