Identification of a Time-Dependent Source Term in Multi-Term Time–Space Fractional Diffusion Equations

Identification of a Time-Dependent Source Term in Multi-Term Time–Space Fractional Diffusion Equations

This paper investigates the inverse problem of identifying a time-dependent source term in multi-term time–space fractional diffusion Equations (TSFDE). First, we rigorously establish the existence and uniqueness of strong solutions for the associated direct problem under homogeneous Dirichlet bound...

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Bibliographic Details
Main Authors: Yushan Li, Yuxuan Yang, Nanbo Chen
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Mathematics
Subjects:
Caputo fractional derivative
fractional Laplacian
inverse source problem
multi-term time–space fractional diffusion equation
optimal perturbation algorithm
Online Access:https://www.mdpi.com/2227-7390/13/13/2123
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