Solvability of singular fractional order elastic beam systems with nonlinearities depending on lower derivatives
Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 235-275
Cet article a éte moissonné depuis 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.
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
Affiliations des auteurs :
Yuji Liu 1 ; Shengping Chen 2
@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},
year = {2016},
volume = {43},
number = {2},
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 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 %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
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