existence of three solutions for a class of fractional boundary value systems
نویسندگان
چکیده
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.
منابع مشابه
Existence of three solutions for a class of fractional boundary value systems
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 t...
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عنوان ژورنال:
international journal of nonlinear analysis and applicationsجلد ۷، شماره ۲، صفحات ۳۵۱-۳۶۲
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