Sharp estimates for the unique solution of the Hadamard-type two-point fractional boundary value problems
General Mathematics
2020-08-13 v1
Abstract
In this short note, we present the sharp estimate for the existence of a unique solution for a Hadamard-type fractional differential equations with two-point boundary value conditions. The method of analysis is obtained by using the integral of the Green's function and the Banach contraction principle. Further, we will also obtain a sharper lower bound of the eigenvalues for an eigenvalue problem. Two examples are presented to clarify the applicability of the essential results.
Cite
@article{arxiv.2008.05301,
title = {Sharp estimates for the unique solution of the Hadamard-type two-point fractional boundary value problems},
author = {Zaid Laadjal and Nacer Adjeroud},
journal= {arXiv preprint arXiv:2008.05301},
year = {2020}
}
Comments
7 pages, Received 24 April 2020, accepted for publication in "Applied Mathematics E-Notes"