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arXiv · 1706.04594

Lyapunov inequality for a boundary value problem involving conformable derivative

Rabah Khaldi·Guezane-Lakoud Assia
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Abstract

We consider a boundary value problem involving conformable derivative of order $\alpha ,$ $1<\alpha <2$ and Dirichlet conditions. To prove the existence of solutions, we apply the method of upper and lower solutions together with Schauder's fixed-point theorem. \ Futhermore, we give the Lyapunov inequality for the corresponding problem.

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Rabah Khaldi, Guezane-Lakoud Assia. 2017-06-14. Lyapunov inequality for a boundary value problem involving conformable derivative. https://doi.org/10.18576/pfda/030407

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