The aim of this paper is to study the existence of solutions to a boundary value problem associated to a nonlinear fractional differential equation where the nonlinear term depends on a fractional derivative of lower order posed on the half-line. An appropriate compactness criterion and suitable Banach spaces are used and so a fixed point theorem is applied to obtain fixed points which are solutions of our problem.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1162,
author = {Amina Boucenna and Toufik Moussaoui},
title = {Existence of positive solutions for a fractional boundary value problem with lower-order fractional derivative dependence on the half-line},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {34},
year = {2014},
pages = {169-189},
zbl = {1318.34004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1162}
}
Amina Boucenna; Toufik Moussaoui. Existence of positive solutions for a fractional boundary value problem with lower-order fractional derivative dependence on the half-line. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 34 (2014) pp. 169-189. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1162/
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