IVPs for singular multi-term fractional differential equations with multiple base points and applications
Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 361-384
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
DOI :
10.4064/am41-4-7
Keywords:
purpose paper study global existence uniqueness solutions initial value problems nonlinear fractional differential equations constructing special banach space employing fixed point theorems sufficient conditions obtained global existence uniqueness solutions kind equations involving caputo fractional derivatives multiple base points apply results solve forced logistic model multi term fractional derivatives
Affiliations des auteurs :
Yuji Liu 1 ; Pinghua Yang 2
@article{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},
pages = {361--384},
publisher = {mathdoc},
volume = {41},
number = {4},
year = {2014},
doi = {10.4064/am41-4-7},
zbl = {1333.34011},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am41-4-7/}
}
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 SP - 361 EP - 384 VL - 41 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/am41-4-7/ DO - 10.4064/am41-4-7 LA - en ID - 10_4064_am41_4_7 ER -
%0 Journal Article %A Yuji Liu %A Pinghua Yang %T IVPs for singular multi-term fractional differential equations with multiple base points and applications %J Applicationes Mathematicae %D 2014 %P 361-384 %V 41 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/am41-4-7/ %R 10.4064/am41-4-7 %G en %F 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) no. 4, pp. 361-384. doi: 10.4064/am41-4-7
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