Lyapunov and Hartman-Wintner type inequalities for a nonlinear fractional boundary value problem with generalized Hilfer derivative
Classical Analysis and ODEs
2017-02-25 v1
Abstract
In this work, we obtain a Lyapunov-type and a Hartman-Wintner-type inequalities for a linear and a nonlinear fractional differential equation with generalized Hilfer operator subject to Dirichlet-type boundary conditions. We prove existence of positive solutions to a nonlinear fractional boundary value problem. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.
Keywords
Cite
@article{arxiv.1702.06073,
title = {Lyapunov and Hartman-Wintner type inequalities for a nonlinear fractional boundary value problem with generalized Hilfer derivative},
author = {Mokhtar Kirane and Berikbol T. Torebek},
journal= {arXiv preprint arXiv:1702.06073},
year = {2017}
}
Comments
25 pages, 4 figures. arXiv admin note: text overlap with arXiv:1604.00671 by other authors