Liu Yang, Xie Dapeng, Yang Dandan, Bai Chuanzhi
Department of Mathematics, Hefei Normal University, Hefei, Anhui 230061 P.R. China.
Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300 P.R. China.
J Inequal Appl. 2017;2017(1):98. doi: 10.1186/s13660-017-1374-3. Epub 2017 May 3.
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.
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。
