@article {
author = {Shah, Kamal and Zeb, Salman and Khan, Rahmat Ali},
title = {Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations},
journal = {Computational Methods for Differential Equations},
volume = {5},
number = {2},
pages = {158-169},
year = {2017},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {},
abstract = {This article is devoted to the study of existence and multiplicity of positive solutions to a class of nonlinear fractional order multi-point boundary value problems of the type−Dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where Dq0+ represents standard Riemann-Liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ∞) is a continuous function. We use some classical results of fixed point theory to obtain sufficient conditions for the existence and multiplicity results of positive solutions to the problem under consideration. In order to show the applicability of our results, we provide some examples.},
keywords = {Fractional differential equations,Boundary value problems,Positive solutions,Green’s function,fixed point theorem},
url = {https://cmde.tabrizu.ac.ir/article_6077.html},
eprint = {https://cmde.tabrizu.ac.ir/article_6077_786926df406ec4f5042d803915a6e8dd.pdf}
}