Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach

被引：0
|
作者：
Mohamed Jleli
Donal O’Regan
Bessem Samet
机构：
[1] College of Science King Saud University,Department of Mathematics
[2] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2019年 / 21卷
关键词：
Lyapunov-type inequalities; coupled system; Caputo fractional derivative; fixed point; generalized eigenvalues; 26D10; 26A33; 47H10;
D O I：
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摘要：
We consider a coupled system of nonlinear fractional differential equations under Dirichlet boundary conditions. Using Perov’s fixed point theorem, we establish a Lyapunov-type inequality for the problem considered. Next, some special cases are discussed and an application to generalized eigenvalue problems is presented.
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