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:
international journal of nonlinear analysis and applicationsجلد ۷، شماره ۲، صفحات ۳۵۱-۳۶۲
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