哈达玛变换
数学
正规化(语言学)
索波列夫空间
数学分析
截断(统计)
应用数学
适定问题
纯数学
计算机科学
统计
人工智能
作者
Renhai Wang,Hengchang Dai,Anh Tuan Nguyen,Nguyen Huu Can
出处
期刊:Fractals
[World Scientific]
日期:2023-12-09
被引量:1
标识
DOI:10.1142/s0218348x2340193x
摘要
In this paper, we are interested in studying the fractional diffusion equation with Riemann–Liouville as follows: [Formula: see text] with nonlocal in time condition. We are going to study the well-posedness of the above problem with some assumptions of the input data. On the other hand, in Hilbert scale and [Formula: see text] spaces, we provide several estimates of regularity results of the mild solution. We also establish the evaluation for gradient term of the mild solution. We also show that the nonlocal problem is ill-posed in the sense of Hadamard. We also derive the regularity result by applying Fourier truncation method. The main tool of the paper is to use some estimates of Wright functions and Sobolev embeddings. In addition, we also obtain a lower bound of the solution according to the input data.
科研通智能强力驱动
Strongly Powered by AbleSci AI