文章基本信息

标题：Solvability of differential equations of order 2 < α ≤ 3 involving the p -Laplacian operator with boundary conditions
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作者：Hüseyin Aktuğlu ; Mehmet Ali Özarslan
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：358
DOI：10.1186/1687-1847-2013-358
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the existence of solutions for non-linear fractional differential equations of order 2 < α ≤ 3 involving the p-Laplacian operator with various boundary value conditions including an anti-periodic case. By using the Banach contraction mapping principle, we prove that, under certain conditions, the suggested non-linear fractional boundary value problem involving the p-Laplacian operator has a unique solution for both cases of 0 < p < 1 and p ≥ 2 . Finally, we illustrate our results with some examples.
关键词：p -Laplacian operators ; fractional derivative ; fractional integral ; Caputo fractional derivative ; boundary value problem ; Caputo fractional boundary value problem ; anti-periodic boundary value problem