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

页码：174 / 185

页数：11

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