<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PAUL ELOE</style></author><author><style face="normal" font="default" size="100%">JEFFREY W. LYONS</style></author><author><style face="normal" font="default" size="100%">JEFFREY T. NEUGEBAUER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">AN ORDERING ON GREEN’S FUNCTIONS FOR A FAMILY OF TWO-POINT BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Let ${ 2 ≤ n }$&amp;nbsp; denote an integer and let ${ n−1 &amp;lt; α ≤ n.}$ For each ${0 &amp;lt; b, 0 ≤ β ≤ n−1 }$, the authors will construct the Green’s function,${ G(b, β;t, s),}$ of the two-point boundary value problem for the fractional differential equation $${ D^α_{0+}u + h(t) = 0, \ \ \ 0 &amp;lt; t &amp;lt; b, }$$ $${ u^{(i)} (0) = 0, \ \ \&amp;nbsp; i = 0, . . . n − 2, \ \ \ D^β_{0+}u(b) = 0,}$$ where ${ D^α_{0+} }$ and ${ D^β_{0+} }$ denote the standard Riemann-Liouville derivatives. The authors will compare Green’s functions, ${ G(b1, β;t, s) }$ and ${ G(b2, β;t, s) }$ or ${ G(b, β1;t, s)}$&amp;nbsp; and ${ G(b, β2;t, s),}$ and the authors will show the existence of a unique limiting function as ${ b → ∞.}$ An application to a nonlinear problem will be given.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">453</style></section></record></records></xml>