<?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%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">KADDA MAAZOUZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS RESULTS FOR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Implicit Fractional Differential Equations </style></short-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%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</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;This paper deals with the existence and uniqueness of solutions for implicit fractional differential equations involving the Caputo fractional derivative in a Banach space by using the Banach contraction principle and Schauder’s fixed point theorem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">355</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%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">ABDERRAHMANE BOUKENKOUL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON FUZZY FRACTIONAL ORDER DERIVATIVES AND DARBOUX PROBLEM FOR IMPLICIT DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">FIRST ORDER NEUTRAL IMPULSIVE DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">02/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</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;In this paper, the Banach contraction principle and a fixed point theorem for absolute retract spaces are used to investigate the existence of fuzzy solutions for Caputo fractional implicit differential equations.&lt;/p&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%">65</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%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">JAMAL E. LAZREG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR NONLINEAR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE</style></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%">34A37</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/19/3/7.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%">14</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 this paper, we establish the existence and uniqueness of solutions for a class of initial value problems for implicit fractional differential equations with impulse and Caputo fractional derivative. The arguments are based upon the Banach contraction principle, and Schaefer’s fixed point theorem. As applications, two examples are included to show the applicability of our results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">413</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%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">FARIDA BERHOUN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY</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%">IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33 - 26A42 - 34A37.</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%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/7.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%">224</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;We provide in this paper, sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations with state-dependent delay involving the Caputo fractional derivative.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">213</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%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">NAIMA HAMIDI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR FRACTIONAL ORDER INTEGRAL  ́ EQUATIONS OF MIXED TYPE IN FR ECHET SPACES</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 ORDER INTEGRAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</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%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">120</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 discuss the existence of solutions for an integral equation of mixed type. We rely on a generalization on Fr ́echet spaces of a Krasnosel’skii type fixed point theorem due to Avramescu and on a nonlinear alternative of Leray-Schauder type for contraction maps in Fr ́echet spaces due to Frigon and Granas.&lt;/p&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%">111</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%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">MOHAMED ABDALLA DARWISH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS THEOREM FOR FUZZY INTEGRAL EQUATION OF FRACTIONAL ORDER</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We present an existence and uniqueness theorem for integral equations of fractional order involving fuzzy set valued mappings of a real variable whose values are normal, convex, upper semicontinuous and compactly supported fuzzy sets in ${ \mathbb{R}^n}$. The method of successive approximation is the main tool in our analysis.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">13</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%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">JOHNNY HENDERSON</style></author><author><style face="normal" font="default" size="100%">DJAMILA SEBA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MEASURE OF NONCOMPACTNESS AND FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34G20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">9</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 this paper, the existence of solutions for an initial value problem of a fractional differential equation is obtained by means of M¨onch’s fixed point theorem and the technique of measures of noncompactness.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">419</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%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">JUAN J. NIETO</style></author><author><style face="normal" font="default" size="100%">ABDELGHANI OUAHAB</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FUZZY SOLUTIONS FOR IMPULSIVE 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%">FUZZY SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">394</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, a fixed point theorem for absolute retract is used to investigate the existence of fuzzy solutions for first and second order impulsive ordinary differential equations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">379</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%">ABDELKADER BELARBI</style></author><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">SAMIRA HAMANI</style></author><author><style face="normal" font="default" size="100%">SOTIRIS K. NTOUYAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERTURBED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER</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%">PERTURBED FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34K05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">440</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div&gt;In this paper, we shall establish sufficient conditions for the existence of solutions, as well as extremal solutions, for perturbed fractional functional differential equations.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">429</style></section></record></records></xml>