数学
分数阶微积分
非线性系统
数学分析
理论(学习稳定性)
订单(交换)
衍生工具(金融)
应用数学
作者
Le Dinh Long,Ho Duy Binh,Dileep Kumar,Nguyen Hoang Luc,Nguyen Can
摘要
In this paper, we investigate an equation of nonlinear fractional diffusion with the derivative of Riemann–Liouville. Firstly, we determine the global existence and uniqueness of the mild solution. Next, under some assumptions on the input data, we discuss continuity with regard to the fractional derivative order for the time. Our key idea is to combine the theories Mittag–Leffler functions and Banach fixed-point theorem. Finally, we present some examples to test the proposed theory.
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