<?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%">JINGYUN LV</style></author><author><style face="normal" font="default" size="100%">XIAOYUAN YANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">APPROXIMATE CONTROLLABILITY OF HILFER FRACTIONAL NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS</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%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34K37</style></keyword><keyword><style  face="normal" font="default" size="100%">34K50</style></keyword><keyword><style  face="normal" font="default" size="100%">93B05</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%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/4/1.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%">24</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;In this paper, we investigate the approximate controllability of Hilfer fractionalneutral stochastic differential equations. Firstly, the existence and uniqueness of&amp;nbsp;mild solutions for these equations are obtained by means of the Banach&amp;nbsp;contraction mapping principle. Then, combining the techniques of stochastic&amp;nbsp;analysis theory, fractional calculations and operator semigroup theory, a new set&amp;nbsp;of sufficient conditions for approximate controllability of these equations is&amp;nbsp;formulated. At last, an example is presented to illustrate the obtained results.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">691</style></section></record><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%">ALKA CHADHA</style></author><author><style face="normal" font="default" size="100%">S.N. BORA</style></author><author><style face="normal" font="default" size="100%">R. SAKTHIVEL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS</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%">34K30</style></keyword><keyword><style  face="normal" font="default" size="100%">34K37</style></keyword><keyword><style  face="normal" font="default" size="100%">35R11</style></keyword><keyword><style  face="normal" font="default" size="100%">47N20</style></keyword><keyword><style  face="normal" font="default" size="100%">60H15</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%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/1/1.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%">30</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 studies the approximate controllability of an impulsive&amp;nbsp;neutral stochastic integro-differential equation with nonlocal conditions and infinite&amp;nbsp;delay involving the Caputo fractional derivative of order $q\in(1,2)$&amp;nbsp;in separable Hilbert&amp;nbsp;space. The existence of the mild solution to fractional stochastic system with nonlocal and impulsive conditions is first proved utilizing fixed point theorem, stochastic&amp;nbsp;analysis, fractional calculus and solution operator theory. Then, a new set of sufficient conditions proving approximate controllability of nonlocal semilinear fractional stochastic system involving impulsive effects is derived by assuming the associated linear system is approximately controllable. Illustrating the obtained abstract results,&amp;nbsp;an example is considered at the end of the paper.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">1</style></section></record><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%">FULYA  DEREN</style></author><author><style face="normal" font="default" size="100%">NUKET  HAMAL</style></author><author><style face="normal" font="default" size="100%">TUGBA  CERDIK</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MONOTONE ITERATIVE TECHNIQUE AND EXISTENCE RESULTS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS</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%">34B10; 34B18; 34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34K37</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%">https://acadsol.eu/dsa/articles/24/30-DSA-375-388.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper is concerned with the existence of positive solutions for boundary value problems of fractional functional differential equations involving the Caputo fractional derivative. The proof is based on the monotone iterative technique. As an application, an example is worked out to demonstrate the main result.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">375</style></section></record></records></xml>