Exp-type Ulam-Hyers stability of fractional differential equations with positive constant coefficient

详细信息    查看全文

• 作者：Zhuoyan Gao ; Xiulan Yu ; JinRong Wang
• 关键词：26A33 ; 34D10 ; 45N05
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,663 KB
• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

In this paper, we apply asymptotic behavior on Mittag-Leffler functions \(\mathbb{E}_{\alpha}(z)\) and \(\mathbb{E}_{\alpha,\alpha}(z)\) for \(z>0\) to discuss exp-type Ulam-Hyers stability of \({}^{\mathrm{c}} D_{t}^{\alpha}x(t)=\lambda x(t)+f(t,x(t))\) for the case \(\lambda>0\) on a finite time interval \([0,1]\) and an unbounded interval \((1,\infty)\).