Abstract
In this paper, the Sturm-Liouville boundary value problem is studied for fractional differential equation with generalized (<i>p</i>, <i>q</i>)-Laplacian operator. By imposing mild assumptions on nonlinearity <i>f</i>, several new existence results of at least one or two nontrivial weak solutions are established through variational methods and critical point theorems. Furthermore, the criteria is also investigated for the nonexistence result.
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