报告主题： The Fractional Green's Function by Babenko's Approach
报告人：Chenkuan Li 教授 （ 布兰登大学）
报告时间：2019年5月20日（周一）15：00
报告地点：校本部G507
邀请人：李常品
主办部门：理学院数学系
报告摘要：The goal of this talk is to derive the fractional Green's function for the first time in the distributional space ${\mathcal D}'(R^+)$ for the following fractional-order differential equation with constant coefficients
a u^{(\beta)}(t) + b u^{(\alpha)}(t) + c u(t) = g(t)
by Babenko's Approach, without using any integral transforms, such as Laplace transform. The results obtained are more generalized than classical ones as they deal with distributions in Schwartz's sense. Furthermore, we provide several interesting applications of solving the fractional differential equations for various values of $\beta$ and $\alpha$ with $\beta > \alpha > 0$, by showing the convergence of double series based on Gamma functions.
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