IVPs for singular multi-term fractional differential equations with multiple base points and applications

Yuji Liu, and Pinghua Yang. "IVPs for singular multi-term fractional differential equations with multiple base points and applications." Applicationes Mathematicae 41.4 (2014): 361-384. <http://eudml.org/doc/280031>.

@article{YujiLiu2014,
abstract = {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.},
author = {Yuji Liu, Pinghua Yang},
journal = {Applicationes Mathematicae},
keywords = {initial value problem; multi-term fractional differential equation; single base point FDE; multiple base points FDE; Caputo fractional derivative; fractional order logistic model; fixed-point theorem},
language = {eng},
number = {4},
pages = {361-384},
title = {IVPs for singular multi-term fractional differential equations with multiple base points and applications},
url = {http://eudml.org/doc/280031},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Yuji Liu
AU - Pinghua Yang
TI - IVPs for singular multi-term fractional differential equations with multiple base points and applications
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 4
SP - 361
EP - 384
AB - 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.
LA - eng
KW - initial value problem; multi-term fractional differential equation; single base point FDE; multiple base points FDE; Caputo fractional derivative; fractional order logistic model; fixed-point theorem
UR - http://eudml.org/doc/280031
ER -