Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay

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• 作者：Bo Zhu^a ; ^b ; ^{zhubo207@163.com" class="auth_mail" title="E-mail the corresponding author} ; Lishan Liu^a ; ^c ; ^{mathlls@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yonghong Wu^c ; ^{yhwu@maths.curtin.edu.au" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Nonlinear fractional reaction&ndash ; diffusion equation ; Local and global solutions ; Theory of ββ-resolvent family ; Mild solution ; Fixed point theorems
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：61
• 期：Complete
• 页码：73-79
• 全文大小：579 K

文摘

In this paper, we investigate the local and global existence of mild solutions to a class of nonlinear fractional reaction–diffusion equations with delay via the theory of β$\beta$-resolvent family and fixed point theorems.