School of Mathematics and Statistics
Xian Jiaotong University
Xian 710049, China
email: zhdmei@mail.xjtu.edu.cn
School of Mathematics and Statistics
Xian Jiaotong University
Xian 710049, China
email: jgpeng@mail.xjtu.edu.cn
Zhan-Dong Mei, Ji-Gen Peng
Abstract:
In this article, we present the notion of Riemann-Liouville fractional cosine
function. we prove that a Riemann-Liouville alpha-order
fractional cosine function is equivalent to the Riemann-Liouville alpha-order
fractional resolvent introduced in [15].
Submitted June 7, 2015. Published September 16, 2016.
Math Subject Classifications: 33E12.
Key Words: Riemann-Liouville fractional cosine function; fractional resolvent;
fractional differential equation.
Show me the PDF file (220 KB), TEX file for this article.
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Zhan-Dong Mei School of Mathematics and Statistics Xian Jiaotong University Xian 710049, China email: zhdmei@mail.xjtu.edu.cn |
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Ji-Gen Peng School of Mathematics and Statistics Xian Jiaotong University Xian 710049, China email: jgpeng@mail.xjtu.edu.cn |
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