ArticleOriginal scientific text
Title
Existence of positive solutions for a fractional boundary value problem with lower-order fractional derivative dependence on the half-line
Authors 1, 1
Affiliations
- Laboratory of Fixed Point Theory and Applications, Department of Mathematics, E.N.S. Kouba, Algiers, Algeria
Abstract
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.
Keywords
fractional differential equation, half-line, Krasnoselsk'ii's fixed point theorem, existence, positive solution
Bibliography
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Pages:
169-189
Main language of publication
English
Received
2014-03-03
Published
2014
DOI: 10.7151/dmdico1162
Exact and natural sciences