数学
有界函数
数学分析
拉普拉斯变换
领域(数学分析)
分数阶微积分
操作员(生物学)
非线性系统
初值问题
终端(电信)
空格(标点符号)
电信
转录因子
量子力学
基因
物理
生物化学
哲学
语言学
抑制因子
计算机科学
化学
作者
Nguyen Huy Tuan,Tran Bao Ngoc,Yong Zhou,Donal O’Regan
出处
期刊:Inverse Problems
[IOP Publishing]
日期:2020-05-01
卷期号:36 (5): 055011-055011
被引量:15
标识
DOI:10.1088/1361-6420/ab730d
摘要
In this paper we consider a final value problem for a diffusion equation with time-space fractional differentiation on a bounded domain D of , k ≥ 1, which includes the fractional power , 0 < β ≤ 1, of a symmetric uniformly elliptic operator defined on L2(D). A representation of solutions is given by using the Laplace transform and the spectrum of . We establish some existence and regularity results for our problem in both the linear and nonlinear case.
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