A Lyapunov-type inequality for a fractional boundary value problem

By Rui A. C. Ferreira. 2013

166 citations recorded by the source corpus.

In 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.

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/3e0756eaf355d4e5b8aff0c906b7f373d6aa73ef

How researchers see this paper

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In Applied Mathematics

1. Lakhdar Ragoub
2. Mohamed Jleli
3. Bessem Samet

In Control and Systems Engineering

1. Lakhdar Ragoub
2. Mohamed Jleli
3. Bessem Samet

Citations in the corpus

• A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition (2015, methodology): “For example, in [9], a Lyapunov-type inequality was obtained for differential equations depending on the Riemann-Liouville fractional derivative; that is, for the boundary value problem”
• LYAPUNOV-TYPE INEQUALITIES FOR FRACTIONAL BOUNDARY-VALUE PROBLEMS (2015, unknown): “[4] R. A. C. Ferreira; A Lyapunov-type inequality for a fractional boundary-value problem, Fract.”