Geodesic
Solvability of singular fractional order elastic beam systems with nonlinearities depending on lower derivatives
Yuji Liu1 ; Shengping Chen2
1 Department of Mathematics Guangdong University of Finance and Economics Guangzhou 510320, P.R. China
2 Department of Mathematics Guangdong University of Finance and Economics Guangzhou 510320, P.R.China
Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 235-275.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In this article, existence results for positive solutions of a class of boundary-value problems for singular fractional order elastic beam systems with nonlinearities depending on lower derivatives are established. The nonlinearities in fractional differential equations may be singular at $t=0$ and $t=1$. A weighted function space is constructed and complete continuity of a nonlinear operator is proved. Our analysis relies on a well known fixed point theorem.
DOI : 10.4064/am2248-4-2016
Keywords: article existence results positive solutions class boundary value problems singular fractional order elastic beam systems nonlinearities depending lower derivatives established nonlinearities fractional differential equations may singular weighted function space constructed complete continuity nonlinear operator proved analysis relies known fixed point theorem

Yuji Liu 1 ; Shengping Chen 2

1 Department of Mathematics Guangdong University of Finance and Economics Guangzhou 510320, P.R. China
2 Department of Mathematics Guangdong University of Finance and Economics Guangzhou 510320, P.R.China 
@article{10_4064_am2248_4_2016,
     author = {Yuji Liu and Shengping Chen},
     title = {Solvability of singular fractional order elastic beam systems with nonlinearities depending on lower derivatives},
     journal = {Applicationes Mathematicae},
     pages = {235--275},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2016},
     doi = {10.4064/am2248-4-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am2248-4-2016/}
}
TY  - JOUR
AU  - Yuji Liu
AU  - Shengping Chen
TI  - Solvability of singular fractional order elastic beam systems with nonlinearities depending on lower derivatives
JO  - Applicationes Mathematicae
PY  - 2016
SP  - 235
EP  - 275
VL  - 43
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am2248-4-2016/
DO  - 10.4064/am2248-4-2016
LA  - en
ID  - 10_4064_am2248_4_2016
ER  - 
%0 Journal Article
%A Yuji Liu
%A Shengping Chen
%T Solvability of singular fractional order elastic beam systems with nonlinearities depending on lower derivatives
%J Applicationes Mathematicae
%D 2016
%P 235-275
%V 43
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am2248-4-2016/
%R 10.4064/am2248-4-2016
%G en
%F 10_4064_am2248_4_2016
Yuji Liu; Shengping Chen. Solvability of singular fractional order elastic beam systems with nonlinearities depending on lower derivatives. Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 235-275. doi : 10.4064/am2248-4-2016. http://geodesic.mathdoc.fr/articles/10.4064/am2248-4-2016/

Cité par Sources :