<?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%">MUJEEB UR REHMAN</style></author><author><style face="normal" font="default" size="100%">RAHMAT ALI KHAN</style></author><author><style face="normal" font="default" size="100%">PAUL  W. ELOE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEM FOR HIGHER ORDER FRACTIONAL DIFFERENTIAL SYSTEM</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/20/12-DSA-30-11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we study existence and multiplicity results for a coupled system of nonlinear nonlocal boundary value problems for higher order fractional differential equations of the type    cDα 0+u(t) = λa(t)f(u(t), v(t)), cD β 0+v(t) = µb(t)g(u(t), v(t)), u ′ (0) = u ′′(0) = u ′′′(0) = · · · = u (n−1)(0) = 0, u(1) = ξ1u(η1), v ′ (0) = v ′′(0) = v ′′′(0) = · · · = v (n−1)(0) = 0, v(1) = ξ2v(η2), where λ, µ &amp;gt; 0, n − 1 &amp;lt; α, β ≤ n for n ∈ N; ξi , ηi ∈ (0, 1) for i = 1, 2 and cDα 0+ is Caputo fractional derivative. We employ the Guo-Krasnosel’skii fixed point theorem to establish existence and multiplicity results for positive solutions. We derive explicit intervals for the parameters λ and µ for which the system possess the positive solutions or multiple positive solutions. Examples are included to show the applicability of the main results.&lt;/p&gt;
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