具有分数阶边界条件的分数阶拉普拉斯方程的两个广义李雅普诺夫型不等式。
Two generalized Lyapunov-type inequalities for a fractional -Laplacian equation with fractional boundary conditions.
作者信息
Liu Yang, Xie Dapeng, Yang Dandan, Bai Chuanzhi
机构信息
Department of Mathematics, Hefei Normal University, Hefei, Anhui 230061 P.R. China.
Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300 P.R. China.
出版信息
J Inequal Appl. 2017;2017(1):98. doi: 10.1186/s13660-017-1374-3. Epub 2017 May 3.
Abstract
In this paper, we investigate the existence of positive solutions for the boundary value problem of nonlinear fractional differential equation with mixed fractional derivatives and -Laplacian operator. Then we establish two smart generalizations of Lyapunov-type inequalities. Some applications are given to demonstrate the effectiveness of the new results.
摘要
在本文中，我们研究了具有混合分数阶导数和 -拉普拉斯算子的非线性分数阶微分方程边值问题正解的存在性。然后我们建立了李雅普诺夫型不等式的两个巧妙推广。给出了一些应用以证明新结果的有效性。
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