<?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%">XIANG LIU</style></author><author><style face="normal" font="default" size="100%">BAOGUO JIA</style></author><author><style face="normal" font="default" size="100%">LYNN ERBE</style></author><author><style face="normal" font="default" size="100%">ALLAN PETERSON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY RESULTS FOR NONLINEAR FRACTIONAL ORDER h-DIFFERENCE SYSTEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A70</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">07/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/3/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">20</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;This paper is concerned with the stability of the fractional order&amp;nbsp;h-difference systems. The definition of Mittag-Leffler stability is introduced, and the&amp;nbsp;sufficient conditions are presented by extending the Lyapunov direct method to such&amp;nbsp;systems. Moreover, we weaken the restriction on Lyapunov function, the stability of&amp;nbsp;the fractional order h-difference systems is established. Two numerical examples are&amp;nbsp;given to illustrate our main results.&lt;/p&gt;
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