An Inverse Problem for a Generalized Fractional Derivative with an Application in Reconstruction of Time- and Space-Dependent Sources in Fractional Diffusion and Wave Equations

An Inverse Problem for a Generalized Fractional Derivative with an Application in Reconstruction of Time- and Space-Dependent Sources in Fractional Diffusion and Wave Equations

In this article, we consider two inverse problems with a generalized fractional derivative. The first problem, IP1, is to reconstruct the function <i>u</i> based on its value and the value of its fractional derivative in the neighborhood of the final time. We prove the uniqueness of the...

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Bibliographic Details
Main Authors: Nataliia Kinash, Jaan Janno
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Mathematics
Subjects:
inverse problem
source reconstruction
final overdetermination
subdiffusion
tempered subdiffusion
fractional wave equation
generalized fractional derivative
atangana–baleanu derivative
Online Access:https://www.mdpi.com/2227-7390/7/12/1138

Internet

https://www.mdpi.com/2227-7390/7/12/1138

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