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Inverse Problem of Determining a Time-Dependent Source in a Fractional Langevin-Type Partial Differential Equation

  • Bakhodirjon Toshtemirov

摘要

In the current paper, we are interested in studying the time-dependent inverse source problem for the space-degenerate fractional Langevin-type PDE involving a bi-ordinal Hilfer fractional derivative. Sufficient conditions for the given data were established for the existence and uniqueness of the solution. The technique to show the existence result is based on the uniform convergence of the series.