Back to Search Start Over

POSITIVE SOLUTIONS OF NONLINEAR FRACTIONAL THREE-POINT BOUNDARY-VALUE PROBLEM.

Authors :
NTOUYAS, SOTIRIS K.
POURHADI, EHSAN
Source :
Le Matematiche; 2018, Vol. 73 Issue 1, p139-154, 16p
Publication Year :
2018

Abstract

In this paper, we study the existence of positive solutions to the boundary-value problem with fractional order (<superscript>C</superscript><subscript>a</subscript>D<superscript>α</superscript>y)(t) +q(t)f(y) = 0, 0 ≤ a < t < b, 1 < α < 2, y(a) = 0, y(b) = βy(η), where a < η < b and β(η − a) − b + a ≠ 0. We prove the existence of at least one positive solution when f is either superlinear or sublinear using the well-known Guo-Lakshmikantham fixed point theorem in cones. Moreover, the convexity and concavity of the solutions are investigated with respect to the behavior of the function q. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03733505
Volume :
73
Issue :
1
Database :
Complementary Index
Journal :
Le Matematiche
Publication Type :
Academic Journal
Accession number :
133941617
Full Text :
https://doi.org/10.4418/2018.73.1.10