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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 18, Issue 1, Pages 17 - 38 (February 2017)
http://dx.doi.org/10.17654/DE018010017

A LYAPUNOV-TYPE INEQUALITY FOR A FRACTIONAL DIFFERENTIAL EQUATION

Yuanyuan Wang, Yuqiang Feng and Deyi Li

Abstract:

In this paper, a new Lyapunov-type inequality is established for a class of fractional differential equations under the boundary conditions. Then the obtained results are applied to discuss the solvability of fractional differential equation.

Keywords and phrases:

fractional differential equation, boundary condition, Green function, Lyapunov inequality.

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