@article{Zhang2022, 
author = {Wei Zhang and Jifeng Zhang and Jinbo Ni},
title = {New Lyapunov-type inequalities for fractional multi-point boundary value problems involving Hilfer-Katugampola fractional derivative},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {1074-1094},
keywords = {Lyapunov-type inequality, Hilfer-Katugampola fractional derivative, multi-point boundary condition},
url = {https://www.sciopen.com/article/10.3934/math.2022064},
doi = {10.3934/math.2022064},
abstract = {In this paper, we present new Lyapunov-type inequalities for Hilfer-Katugampola fractional differential equations. We first give some unique properties of the Hilfer-Katugampola fractional derivative, and then by using these new properties we convert the multi-point boundary value problems of Hilfer-Katugampola fractional differential equations into the equivalent integral equations with corresponding Green's functions, respectively. Finally, we make use of the Banach's contraction principle to derive the desired results, and give a series of corollaries to show that the current results extend and enrich the previous results in the literature.}
}