Abstract
We establish new Lyapunov-type inequalities for the following conformable fractional boundary value problem (
BVP
):
T
α
a
u
t
+
q
(
t
)
u
(
t
)
=
0
,
a
<
t
<
b
,
u
(
a
)
=
u
′
(
a
)
=
u
′
′
(
a
)
=
u
′
′
(
b
)
=
0
,
where
T
α
a
is the conformable fractional derivative of order
α
∈
(
3,4
]
and
q
is a real-valued continuous function
.
Some applications to the corresponding eigenvalue problem are discussed.