Identification of the order in fractional discrete systems

被引：0
|
作者：
Ponce, Rodrigo [1 ,2 ]
机构：
[1] Univ Talca, Inst Matemat, Talca, Chile
[2] Univ Talca, Inst Matemat, Casilla 747, Talca, Chile
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 12期
关键词：
fractional differential equations; inverse problems; unbounded linear operators; MAXIMAL REGULARITY; EQUATIONS;
D O I：
10.1002/mma.10092
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the problem of finding the order 0 < alpha < 1 in the fractional discrete system: { c del( alpha)u(n) = A u(n), n >= 1, u(0) = x(0), where A is a closed linear operator defined in a Banach space X, x(0) is an element of X , and c del( alpha)u(n )is the discrete Caputo fractional derivative of a given vector-valued sequence (u(n))(n is an element of N0).
引用
收藏
页码：9758 / 9768
页数：11
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