Existence of a solution is proved for the inverse source problem of a variable-order time-fractional mixed PDE in a cylinder via separation of variables and Bessel series convergence analysis.
Direct and inverse problems with a dynamical condition for the sub-diffusion equation involving the Hilfer-Prabhakar integral-differential operator
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An Inverse Source Problem For a Time-Fractional Mixed Wave-Diffusion-Wave Equation in a Cylindrical Domain
Existence of a solution is proved for the inverse source problem of a variable-order time-fractional mixed PDE in a cylinder via separation of variables and Bessel series convergence analysis.