Existence of three solutions for a class of fractional boundary value systems
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Abstract:
In this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplicity results for a class of nonlinear fractional equations. These problems have a variational structure and we find three solutions for them by exploiting an abstract result for smooth functionals defined on a reflexive Banach space. To make the nonlinear methods work, some careful analysis of the fractional spaces involved is necessary. We also give an example to illustrate the obtained result.
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Journal title
volume 7 issue 2
pages 351- 362
publication date 2016-12-26
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