Inverse source problems for multi-parameter space-time fractional differential equations with bi-fractional Laplacian operators

Inverse source problems for multi-parameter space-time fractional differential equations with bi-fractional Laplacian operators

Two inverse source problems for a space-time fractional differential equation involving bi-fractional Laplacian operators in the spatial variable and Caputo time-fractional derivatives of different orders between 1 and 2 are studied. In the first inverse source problem, the space-dependent term alon...

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Bibliographic Details
Main Author: M. J. Huntul
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
inverse source problem
fractional derivative
bi-fractional laplacian operator
ill-posedness
mittag-leffler type functions
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241566?viewType=HTML
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