Reconstruction of Time-Dependent Source Terms in Fractional Diffusion Equations Using Carleman Estimates and Optimization Algorithms.

This paper investigates the inverse problem of reconstructing time-dependent source terms in timefractional diffusion equations with Caputo derivatives, which are widely used to model anomalous subdiffusive processes. The objective is to recover the temporal behaviour of unknown source functions fro...

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Publicado en:	Journal of Basrah Researches (Sciences) Vol. 51; no. 2; pp. 88 - 106
Autor principal:	Rasheed, Sudad Musa
Formato:	Artículo
Publicado:	Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) 2025
Materias:	Inverse problems Caputo fractional derivatives Optimization algorithms Partial differential equations Marquardt algorithm
Acceso en línea:	Ver este registro en EBSCOhost