Initial boundary value problems for a multi-term time fractional diffusion equation with generalized fractional derivatives in time

Initial boundary value problems for a multi-term time fractional diffusion equation with generalized fractional derivatives in time

For a multi-term time-fractional diffusion equation comprising Hilfer fractional derivatives in time variables of different orders between 0 and 1, we have studied two problems (direct problem and inverse source problem). The spectral problem under consideration is self-adjoint. The solution to the...

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Bibliographic Details
Main Authors: Shuang-Shuang Zhou, Saima Rashid, Asia Rauf, Khadija Tul Kubra, Abdullah M. Alsharif
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:AIMS Mathematics
Subjects:
direct problem
inverse problem
fractional derivative
multinomial mittag-leffler function
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021703?viewType=HTML

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