<?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%">F. A. MCRAE</style></author><author><style face="normal" font="default" size="100%">J.VASUNDHARA DEVI</style></author><author><style face="normal" font="default" size="100%">Z. DRICI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULT FOR PERIODIC BOUNDARY VALUE PROBLEM OF SET DIFFERENTIAL EQUATIONS USING MONOTONE ITERATIVE TECHNIQUE</style></title></titles><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/19/2/7.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%">12</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;The study of set differential equations(SDE)[1] is useful as it encompasses the study of scalar differential equations and vector differential equations as special cases and further this study is done in a semilinear metric space. The monotone iterative technique (MIT) [2] is a flexible mechanism to obtain monotone sequence that converge to the extremal solutions of the considered problem. The study of periodic boundary value problems(PBVP) is complicated and more so in the case of SDEs, where the constraints are many. Hence the construction of MIT for PBVP for set differential equations has not been done till now. In [3] MIT for PBVP was developed using monotone sequences, which are solutions of the initial value problem [IVPs] of linear differential equations. These solutions are unique and hence the monotone sequences obtained are unique and they converge to a unique function which is shown to be a solution of the considered PBVP. The special advantage obtained with this approach is that working with IVPs of linear differential equations is easy and the uniqueness of the solution of the PBVP is guaranteed with no extra assumptions or effort. In this paper, using the approach utilized in [3] we develop the MIT for PBVP for SDEs.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">245</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%">Z. DRICI</style></author><author><style face="normal" font="default" size="100%">F. A. MCRAE</style></author><author><style face="normal" font="default" size="100%">J. VASUNDHARA DEVI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34GXX</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">88</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we develop some existence results for fractional equations involving causal operators.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">81</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%">F. A. MCRAE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MONOTONE METHOD FOR PERIODIC BOUNDARY VALUE PROBLEMS OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">MONOTONE METHOD FOR PERIODIC BOUNDARY VALUE PROBLEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12.</style></keyword><keyword><style  face="normal" font="default" size="100%">34A45</style></keyword><keyword><style  face="normal" font="default" size="100%">34C60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">80</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, the monotone iterative technique is developed to study existence of solutions of PBVP for Fractional Differential Equation.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">73</style></section></record></records></xml>