Lyapunov-type inequalities for $(\mathtt{n},\mathtt{p})$-type nonlinear fractional boundary value problems

Authors

PAUL W. ELOE
MURALEE BALA KRUSHNA BODDU

DOI

10.55730/1300-0098.3395

Abstract

This paper establishes Lyapunov-type inequalities for a family of two-point $(\mathtt{n},\mathtt{p})$-type boundary value problems for Riemann-Liouville fractional differential equations. To demonstrate how the findings can be applied, we provide a few examples, one of which is a fractional differential equation with delay.

Keywords

Fractional derivative, boundary value problem, Green's function, Lyapunov-type inequality

First Page

816

Last Page

829

Recommended Citation

ELOE, PAUL W. and BODDU, MURALEE BALA KRUSHNA (2023) "Lyapunov-type inequalities for $(\mathtt{n},\mathtt{p})$-type nonlinear fractional boundary value problems," Turkish Journal of Mathematics: Vol. 47: No. 2, Article 27. https://doi.org/10.55730/1300-0098.3395
Available at: https://journals.tubitak.gov.tr/math/vol47/iss2/27