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Inverse problems for a perturbed time fractional diffusion equation with final overdetermination
Author(s) -
Kinash Nataliia,
Janno Jaan
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4719
Subject(s) - overdetermination , mathematics , uniqueness , convolution (computer science) , mathematical analysis , diffusion equation , diffusion , stability (learning theory) , term (time) , inverse problem , inverse , thermodynamics , geometry , quantum mechanics , machine learning , philosophy , physics , economy , epistemology , artificial neural network , computer science , economics , service (business)
Inverse problems to recover a space‐dependent factor of a source term and an initial condition in a perturbed time fractional diffusion equation containing an additional convolution term from final data are considered. Existence, uniqueness, and stability of solutions to these problems are proved.