Uniqueness for Inverse Source Problems of Determining a Space-Dependent Source in Time-Fractional Equations with Non-Smooth Solutions
نویسندگان
چکیده
In this contribution, we investigate an inverse source problem for a fractional diffusion and wave equation with the Caputo derivative of space-dependent variable order. More specifically, discuss uniqueness solution when reconstructing from time-averaged measurement, or final in time measurement. Weakly singular solutions are included class admissible solutions. The obtained results also valid if order is constant.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2021
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract5040169