@article {
author = {Nyamoradi, N. and Alaei Dizaji, H.},
title = {Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions},
journal = {Iranian Journal of Science and Technology (Sciences)},
volume = {38},
number = {4},
pages = {455-461},
year = {2014},
publisher = {Springer},
issn = {1028-6276},
eissn = {},
doi = {10.22099/ijsts.2014.2562},
abstract = {Β In this paper, by employing the Guo-Krasnoselskii fixed point theorem in a cone, we study the existence of positive solutions to the following nonlocal fractional boundary value problems { π·0+ πΌ π’(π‘) = π(π‘, π’(π‘)), π‘ β (0,1), π’π‘ + π’β²(0) = 12 [π»1(ππ’) + β« π»2 πΈ(π π’π )ππ , π’1) + π’β²(1) = 0, c where cπ·0+ πΌis the standard Caputo derivative of order πΌ 1 < πΌ< 2, πΈβ (0,1) is some measurable set. We provide conditions on π π»1, π»2 and πsuch that the problem exhibits at least one positive solution.},
keywords = {Cone,fixed point theorem,standard Caputo,Derivative},
url = {http://ijsts.shirazu.ac.ir/article_2562.html},
eprint = {http://ijsts.shirazu.ac.ir/article_2562_89c639061537ef57883fe24a62f10c88.pdf}
}