Problem of Determination of a Source with Unknown Functions in a Fractional Diffusion Equation

被引：0
|
作者：
H. P. Lopushanska [1 ]
O. M. Myaus [2 ]
O. V. Pasichnyk [1 ]
机构：
[1] I. Franko National University of Lviv,
[2] Lviv Polytechnic National University,undefined
来源：
Journal of Mathematical Sciences | 2025年 / 287卷 / 2期
关键词：
fractional derivative; inverse problem; Schwarz-type spaces; time-integral overdetermination conditions;
D O I：
10.1007/s10958-025-07583-w
中图分类号：
学科分类号：
摘要：
For a diffusion equation with the Djrbashian–Nersesian–Caputo fractional derivative with respect to time, we establish sufficient conditions for the unique solvability of an inverse problem of determination of m unknown functions from the Schwarz-type space of smooth functions rapidly decreasing at infinity with m time-integral overdetermination conditions.
引用
收藏
页码：174 / 185
页数：11
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