A LYAPUNOV-TYPE INEQUALITY FOR A FRACTIONAL DIFFERENTIAL EQUATION

2017 ◽  
Vol 18 (1) ◽  
pp. 17-38
Author(s):  
Yuanyuan Wang ◽  
Yuqiang Feng ◽  
Deyi Li
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Type Inequality ◽  
Fractional Differential ◽  
Lyapunov Type Inequality

A Lyapunov-type inequality for a fractional boundary value problem

2013 ◽  
Vol 16 (4) ◽  
Author(s):  
Rui Ferreira
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Fractional Differential Equation ◽  
Type Inequality ◽  
Fractional Boundary Value Problem ◽  
Real Zeros ◽  
Fractional Differential ◽  
Type Boundary ◽  
Lyapunov Type Inequality

AbstractIn this work we obtain a Lyapunov-type inequality for a fractional differential equation subject to Dirichlet-type boundary conditions. Moreover, we apply this inequality to deduce a criteria for the nonexistence of real zeros of a certain Mittag-Leffler function.

scholarly journals A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Mohamed Jleli ◽  
Lakhdar Ragoub ◽  
Bessem Samet
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Fractional Differential Equations ◽  
Type Inequality ◽  
Robin Boundary Condition ◽  
Robin Boundary Conditions ◽  
Real Zeros ◽  
Fractional Differential ◽  
Robin Boundary ◽  
Lyapunov Type Inequality

We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real zeros.

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