<?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%">D. VIVEK</style></author><author><style face="normal" font="default" size="100%">K. KANAGARAJAN</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE BEHAVIOR OF SOLUTIONS OF HILFER-HADAMARD TYPE FRACTIONAL NEUTRAL PANTOGRAPH EQUATIONS WITH BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</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%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/en/articles/22/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">22</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 study the dynamics and stability of Hilfer-Hadamard type fractional neutral pantograph equations with boundary conditions using Schaefer’s fixed point theorem. In addition, we discuss Ulam&amp;nbsp;stability of the system by employing Banach contraction principle.&lt;/p&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%">211</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%">AHMED ALSAEDI</style></author><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY ANALYSIS IN TERMS OF TWO MEASURES FOR SETVALUED HYBRID INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE</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%">SETVALUED HYBRID INTEGRO-DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K25</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</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;div class=&quot;rtejustify&quot;&gt;We study some stability criteria in terms of two measures for setvalued perturbed hybrid integro-differential equations of mixed type with fixed moments of impulse. Stability properties of perturbed system are obtained via a comparison result which connects the solutions of perturbed system and the unperturbed one through the solutions of a comparison system.&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%">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%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH SEPARATED BOUNDARY CONDITIONS</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%">RESULTS FOR NONLINEAR BOUNDARY VALUE PROBLEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</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/13/1/12.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%">128</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;This paper studies existence and uniqueness results in a Banach space for a two-point boundary value problem involving a nonlinear fractional differential equation given by&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;65&quot; 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&quot; width=&quot;417&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;Our results are based on contraction mapping principle and Krasnoselskii’s fixed point theorem.&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%">121</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%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY IN TERMS OF TWO MEASURES FOR PERTURBED DYNAMIC INTEGRO-DIFFERENTIAL EQUATIONS ON TIME SCALES</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%">STABILITY IN TERMS OF TWO MEASURES</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D20</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/13/1/3.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%">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;In this paper, we will give a new comparison theorem that connects the solutions of perturbed and unperturbed dynamic systems in terms of two measures on time scales.&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%">21</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%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME BASIC RESULTS FOR FRACTIONAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K05</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</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/12/4/10.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%">11</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 studies some existence and comparison results for initial value problems involving fractional functional integro-differential equations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">467</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%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME EXISTENCE RESULTS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K05</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</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/12/2/1.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%">6</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 studies some existence and uniqueness results in a Banach space for a fractional integro-differential equation with nonlinear condition$${ \ ^c D^q x(t) = f(t, x(t)) + \int_{0}^{t} k(t, s, x(s))ds, t \in \&amp;nbsp;&amp;nbsp;[0, T ], 0 &amp;lt; q &amp;lt; 1}$$,&amp;nbsp; $${ \ x(0) = x_0 − g(x) }$$. The contraction mapping principle and Krasnoselskii’s fixed point theorem are employed to establish the results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">107</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%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THEORY OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH THREE-POINT BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</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/12/4/11.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%">6</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 studies existence and uniqueness results in a Banach space for a three-point boundary value problem involving a fractional differential equation given by $${ ^cD^q&amp;nbsp;x(t) = f(t, x(t)), \ \ \ \&amp;nbsp; t ∈ [0, T ], \ \ \&amp;nbsp;&amp;nbsp; 0 &amp;lt; q &amp;lt; 1, }$$ $${ αx(0) + βx(T ) = γx(η), \ \ \&amp;nbsp; 0 &amp;lt; η &amp;lt; T, \ \ \ α + β \ne&amp;nbsp; γ.}$$ The contraction mapping principle and Krasnoselskii’s fixed point theorem are employed to establish the results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">484</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%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">φ0-STABILITY OF IMPULSIVE HYBRID SETVALUED DIFFERENTIAL EQUATIONS WITH DELAY BY PERTURBING LYAPUNOV FUNCTIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K45</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/12/2/3.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 study ${\varphi_0}$-stability of the null solution of impulsive set differential system with delay by means of the perturbing Lyapunov function method. Sufficient conditions for the ${\varphi_0}$- stability of the null solution of impulsive set differential equations with delay are presented.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">137</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%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BASIC RESULTS AND STABILITY CRITERIA FOR SET VALUED DIFFERENTIAL EQUATIONS ON TIME SCALES</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%">DIFFERENTIAL EQUATIONS ON TIME SCALES</style></short-title></titles><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/11/3/6.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%">428</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div&gt;We develop some basic results for set valued differential equations on time scales. Sufficient conditions for the stability of the trivial solution of set valued differential equations on time scales are also discussed.&lt;/div&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%">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%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">Rahmat Ali Khan</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">K-TH ORDER MONOTONE ITERATIVE SCHEME FOR BOUNDARY VALUE PROBLEMS ASSOCIATED WITH SECOND ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A45</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">10</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 method of quasilinearization, coupled with the method of upper and lower solutions, is applied to a nonlinear second order boundary value problem associated with a functional differential equation to obtain a sequence of approximate solutions converging monotonically and rapidly to a unique solution of the problem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">317</style></section></record></records></xml>