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Hassine Maatoug

Bio: Hassine Maatoug is an academic researcher from University of Monastir. The author has contributed to research in topics: Fractional calculus & Uniqueness. The author has an hindex of 1, co-authored 1 publications receiving 1 citations.

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TL;DR: In this article, an inverse source problem for a space-time fractional diffusion equation is formulated as a minimization problem and an iterative process is developed for identifying the unknown source term.
Abstract: This paper is concerned with an inverse source problem for a space-time fractional diffusion equation. We aim to identify an unknown source term from partially observed data. The employed model involves the Caputo fractional derivative in time and the non-local fractional Laplacian operator in space. The well-posedness of the forward problem is discussed. The considered ill-posed inverse source problem is formulated as a minimization one. The existence, uniqueness and stability of the solution of the minimization problem are examined. An iterative process is developed for identifying the unknown source term. A numerical implementation of the proposed approach is performed. The convergence of the discretized fractional derivatives is analyzed. The efficiency and accuracy of the proposed identification algorithm are confirmed by some numerical experiments.

1 citations


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01 Mar 2004
TL;DR: The viscoelastic properties of the cytoplasm of living yeast cells were investigated by studying the motion of lipid granules naturally occurring in the cy toplasm and it is observed that the motion becomes less subdiffusive upon actin disruption.
Abstract: The viscoelastic properties of the cytoplasm of living yeast cells were investigated by studying the motion of lipid granules naturally occurring in the cytoplasm. A large frequency range of observation was obtained by a combination of video-based and laser-based tracking methods. At time scales from 10(-4) to 10(2) s, the granules typically perform subdiffusive motion with characteristics different from previous measurements in living cells. This subdiffusive behavior is thought to be due to the presence of polymer networks and membranous structures in the cytoplasm. Consistent with this hypothesis, we observe that the motion becomes less subdiffusive upon actin disruption.

321 citations