The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term fractional derivatives.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am41-4-7,
author = {Yuji Liu and Pinghua Yang},
title = {IVPs for singular multi-term fractional differential equations with multiple base points and applications},
journal = {Applicationes Mathematicae},
volume = {41},
year = {2014},
pages = {361-384},
zbl = {1333.34011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-4-7}
}
Yuji Liu; Pinghua Yang. IVPs for singular multi-term fractional differential equations with multiple base points and applications. Applicationes Mathematicae, Tome 41 (2014) pp. 361-384. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-4-7/