A note on fractional Duhamel’s principle and its application to a class of fractional partial differential equations

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• 作者：Arjumand Seemab ^{arjumandseemab52@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Mujeeb ur Rehman ; ^{mujeeburrrehman345@yahoo.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Fractional differential equations ; Caputo derivative ; Mittag Leffler function ; Duhamel principle
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：8-14
• 全文大小：603 K

文摘

The aim of this study is to develop a fractional version of Duhamel’s principle for a class of fractional partial differential equations. Also we establish the existence of unique solution.