Existence of three solutions for a class of fractional boundary value systems
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-7-2_029
تاریخ نمایه سازی: 11 آذر 1401
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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Authors
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Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
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Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
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Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box ۱۳۳۹, Bojnord ۹۴۵۳۱, Iran