<?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%">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%">R. SAKTHIVEL</style></author><author><style face="normal" font="default" size="100%">E. R. ANANDHI</style></author><author><style face="normal" font="default" size="100%">SANG-GU LEE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">APPROXIMATE CONTROLLABILITY OF IMPULSIVE DIFFERENTIAL INCLUSIONS 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%">34G20</style></keyword><keyword><style  face="normal" font="default" size="100%">93B05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/18/42-DSA-208.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">18</style></volume><pages><style face="normal" font="default" size="100%">17</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 order to describe various real-world problems in physical and engineering sciences that are subject to abrupt changes at certain instants during the evolution process, impulsive differential equations has been used to describe the system model. In this article, the problem of approximate controllability for nonlinear impulsive neutral differential inclusions with nonlocal conditions is studied under the assumption that the corresponding linear control system is approximately controllable. Using a fixed point theorem for condensing multi-valued maps and semigroup theory, sufficient conditions are formulated and proved. Finally, an example is provided to illustrate the results obtained.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">637</style></section></record></records></xml>