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On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions | ||
| Computational Methods for Differential Equations | ||
| مقاله 3، دوره 9، شماره 1، فروردین 2021، صفحه 36-51 اصل مقاله (148.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.29444.1420 | ||
| نویسندگان | ||
| Azizollah Babakhani* 1؛ Qasem Al-Mdallal2 | ||
| 1Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave, Babol 47148-71167, Iran. | ||
| 2Department of Mathematical Sciences , United Arab Emirates University Al-Ain, UAE. | ||
| چکیده | ||
| By using the Guo-Krasnoselskii’s fixed point theorem, we investigate the existence of positive solutions for a non-autonomous fractional differential equations with integral boundary conditions of fractional order α ∈ (2, 3] in an ordered Banach space. The Fredholm integral equation has an important role in this article. Some examples are presented to illustrate the efficiency of the obtained results. | ||
| کلیدواژهها | ||
| Caputo fractional derivative؛ Integral boundary conditions؛ Fredholm integral equation | ||
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