<?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%">Rahmat Ali Khan</style></author><author><style face="normal" font="default" size="100%">KAMAL SHAH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS OF SOLUTIONS TO FRACTIONAL ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">33C45</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/19/4/4.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%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We study sufficient conditions for existence and uniqueness of solutions to boundary value problems for fractional order differential equations of the form$${ −^cD^q_u(t) = f(t, u(t)); \ \ \&amp;nbsp; t ∈ J = [0, 1], \ \ 1 &amp;lt; q ≤ 2, \\ u(0) = g(u), \ \&amp;nbsp; u(1) − \sum^{m−2}_{i=1} λ_iu(η_i) = h(u), }$$&amp;nbsp;where ${ λ_i , η_i ∈ (0, 1) }$ with ${ \sum^{m−2}_{i=1} λ_iη_i &amp;lt; 1, \ \ g, h ∈ C(J, \mathbb{R}) }$ are boundary functions and ${ f : J ×\mathbb{R}×\mathbb{R} → \mathbb{R} }$ is continuous. We use a fixed point theorem for condensing maps to establish sufficient conditions for existence as well as uniqueness of solutions to the boundary value problem. We provide an example to verify the applicability of our results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">515</style></section></record></records></xml>