Maximal and minimal solution of nonlocal fractional differential equation
Abstract
In this paper we consider a nonlinear fractional differential equation with weighted initial and nonlocal condition and prove the existence and approximation of the solution. We also extend to prove the existence of Maximal and Minimal solutions for a nonlinear fractional differential equation with weighted initial and nonlocal conditions, and these maximal and minimal solution will serve as bounds for the nonlinear fractional differential equation with weighted initial and nonlocal conditions.
Copyright © 2017 Tarachand L. Holambe, Mohammed Mazhar Ul Haque. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
T. L. Holambe, M. M. Ul Haque, Maximal and minimal solution of nonlocal fractional differential equation, Adv. Fixed Point Theory 7 (2017), 221–242.
BibTeX
@article{Holambe2017,
author = {Holambe, Tarachand L. and Ul Haque, Mohammed Mazhar},
title = {Maximal and minimal solution of nonlocal fractional differential equation},
journal = {Adv. Fixed Point Theory},
volume = {7},
year = {2017},
pages = {221--242},
doi = {}
}