Inverse source problem for multi-term time-fractional diffusion equation with nonlocal boundary conditions

Inverse source problem for multi-term time-fractional diffusion equation with nonlocal boundary conditions

In this paper, we consider an inverse source problem with nonlocal boundary conditions for the heat equation involving multi-term time-fractional derivatives. We determine a source term independent of the space variable, and the temperature distribution from the energy measurement. We reduce the sol...

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Bibliographic Details
Main Authors: Bauyrzhan Derbissaly, Makhmud Sadybekov
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Series:AIMS Mathematics
Subjects:
inverse source problem
fractional diffusion equation
nonlocal boundary condition
multinomial mittag-lefler function
fourier series
Online Access:https://aimspress.com/article/doi/10.3934/math.2024488?viewType=HTML

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https://aimspress.com/article/doi/10.3934/math.2024488?viewType=HTML

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