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Existence of three solutions for a class of fractional boundary value systems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 39، دوره 7، شماره 2، اسفند 2016، صفحه 351-362 اصل مقاله (431.32 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.1241.1296 | ||
| نویسندگان | ||
| Samad Mohseni Kolagar* 1؛ Ghasem A. Afrouzi1؛ Armin Hadjian2 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| 2Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, Bojnord 94531, Iran | ||
| تاریخ دریافت: 11 اسفند 1394، تاریخ بازنگری: 29 آبان 1395، تاریخ پذیرش: 10 آذر 1395 | ||
| 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. | ||
| کلیدواژهها | ||
| Fractional differential equations؛ Riemann-Liouville fractional derivatives؛ Variational methods؛ Three solutions | ||
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