Cauchy problems for fractional differential equations with Riemann–Liouville fractional derivatives
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- Cauchy problems for fractional differential equations with Riemann–Liouville fractional derivatives
- 发表刊物：
- Journal of Functional Analysis
- 摘要：
- In this paper, we are concerned with Cauchy problems of fractional differential equations with Riemann–Liouville fractional derivatives in infinite-dimensional Banach spaces. We introduce the notion of fractional resolvent, obtain some its properties, and present a generation theorem for exponentially bounded fractional resolvents. Moreover, we prove that a homogeneous α-order Cauchy problem is well posed if and only if its coefficient operator is the generator of an α-order fractional resolvent, and we give sufficient conditions to guarantee the existence and uniqueness of weak solutions and strong solutions of an inhomogeneous α-order Cauchy problem.
- 合写作者：
- Kexue Li, Jigen Peng, Junxiong Jia
- 卷号：
- 263
- 页面范围：
- 476–510
- 是否译文：
- 否
- 发表时间：
- 2012-07-15