Higher order multi-point fractional boundary value problems with integral boundary conditions

	Higher order multi-point fractional boundary value problems with integral boundary conditions
International Journal of Nonlinear Analysis and Applications
مقاله 20، دوره 9، شماره 1، آذر 2018، صفحه 247-260 اصل مقاله (395.77 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.13610.1708
نویسندگان
İsmail Yaslan^* ؛ Mustafa Gunendi
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
تاریخ دریافت: 15 دی 1396، تاریخ بازنگری: 03 اردیبهشت 1397، تاریخ پذیرش: 23 اردیبهشت 1397
چکیده
In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed point index, Avery-Henderson fixed point theorem and the Legget-Williams fixed point theorem, respectively.
کلیدواژه‌ها
Boundary value problems؛ cone؛ fixed point theorems؛ positive solutions؛ Riemann-Liouville fractional derivative؛ integral boundary conditions

آمار تعداد مشاهده مقاله: 15,255 تعداد دریافت فایل اصل مقاله: 1,113

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