On a generalized Lyapunov inequality for a mixed fractional boundary value problem

Rabah Khaldi; Assia Guezane-Lakoud; Rabah Khaldi; Assia Guezane-Lakoud

doi:10.3934/math.2019.3.506

AIMS Mathematics

2019, Volume 4, Issue 3: 506-515. doi: 10.3934/math.2019.3.506

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On a generalized Lyapunov inequality for a mixed fractional boundary value problem

Rabah Khaldi ,
Assia Guezane-Lakoud ^,

Laboratory of Advanced Materials, Department of Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria

Received: 09 March 2019 Accepted: 10 May 2019 Published: 23 May 2019
MSC : 34A08, 26A33

In this paper, we establish a new Lyapunov-type inequality for a differential equation involving left Riemann-Liouville and right Caputo fractional derivatives subject to Dirichlet-type boundary conditions.
- fractional derivative,
- Lyapunov inequality,
- Green's function,
- eigenvalue problem
Citation: Rabah Khaldi, Assia Guezane-Lakoud. On a generalized Lyapunov inequality for a mixed fractional boundary value problem[J]. AIMS Mathematics, 2019, 4(3): 506-515. doi: 10.3934/math.2019.3.506

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Abstract

In this paper, we establish a new Lyapunov-type inequality for a differential equation involving left Riemann-Liouville and right Caputo fractional derivatives subject to Dirichlet-type boundary conditions.

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