Lyapunov inequality for a boundary value problem involving conformable derivative

DOI10.18576/PFDA/030407arXiv1706.04594MaRDI QIDQ6287862

R. Khaldi, Guezane-Lakoud Assia

Publication date: 14 June 2017

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.

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

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