Fundamental solution of the time‐fractional telegraph Dirac operator

机译：时分 - 分数电报Dirac操作员的基本解决方案

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Summary > In this work, we obtain the fundamental solution (FS) of the multidimensional time‐fractional telegraph Dirac operator where the 2 time‐fractional derivatives of orders <fi>α</fi> ∈]0,1] and <fi>β</fi> ∈]1,2] are in the Caputo sense. Explicit integral and series representation of the FS are obtained for any dimension. We present and discuss some plots of the FS for some particular values of the dimension and of the fractional parameters <fi>α</fi> and <fi>β</fi> . Finally, using the FS, we study some Poisson and Cauchy problems. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml：id =“mma4511-abs-0001”xml：lang =“en”> <title type =“main” >摘要</ title> >在这项工作中，我们获得了多维时间 - 分流电报DIAC算子的基本解决方案（FS），其中2个分数的订单<fi>α</ fi>∈] 0 1]和<fi>β</ fi>∈] 1,2]在Caputo感觉中。为任何维度获得FS的显式积分和串联表示。我们展示并讨论FS的一些特定值和分数参数<fi>α</ fi>和<fi>β</ fi>的一些图表。最后，使用FS，我们研究一些泊松和Cauchy问题。 </ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-24473/'>《Mathematical Methods in the Applied Sciences》</a> <b style="margin: 0 2px;">|</b><span>2017年第18期</span><b style="margin: 0 2px;">|</b><span>共18页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ferreira M.&option=202" target="_blank" rel="nofollow">Ferreira M.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Rodrigues M. M.&option=202" target="_blank" rel="nofollow">Rodrigues M. M.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Vieira N.&option=202" target="_blank" rel="nofollow">Vieira N.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>School of Technology and ManagementPolytechnic Institute of LeiriaLeiria P‐2411‐901 Portugal;</p> <p>CIDMA ‐ Center for Research and Development in Mathematics and Applications Department of MathematicsUniversity of Aveiro Campus Universitário de SantiagoAveiro 3810‐193 Portugal;</p> <p>CIDMA ‐ Center for Research and Development in Mathematics and Applications Department of MathematicsUniversity of Aveiro Campus Universitário de SantiagoAveiro 3810‐193 Portugal;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/156.html" title="数学">数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Caputo fractional derivative&option=203" rel="nofollow">Caputo fractional derivative;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=fundamental solution&option=203" rel="nofollow">fundamental solution;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=H‐function of 2 variables&option=203" rel="nofollow">H‐function of 2 variables;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=multivariate Mittag‐Leffler functions&option=203" rel="nofollow">multivariate Mittag‐Leffler functions;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=telegraph dirac operators&option=203" rel="nofollow">telegraph dirac operators;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=time‐fractional telegraph&option=203" rel="nofollow">time‐fractional telegraph;</a> </p> <div class="translation"> 机译：Caputo分数衍生物;基本解决方案;H函数2变量;多变量Mittag-Leffler功能;电报Dirac运算符;时间分数电报; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704022441880.html">First and Second Fundamental Solutions of the Time-Fractional Telegraph Equation with Laplace or Dirac Operators</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ferreira M.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Ferreira M.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Rodrigues M. 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