Existence, uniqueness, and stability are established for the direct problem of the Hallaire-Luikov equation with the ψ-Prabhakar operator; the solution is expressed via a new quadrivariate Mittag-Leffler-type function obtained by separation of variables and successive approximations.
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Generalization of Hallaire-Luikov Moisture Transfer Equation: Direct Problem with the $\psi$-Prabhakar Operator
Existence, uniqueness, and stability are established for the direct problem of the Hallaire-Luikov equation with the ψ-Prabhakar operator; the solution is expressed via a new quadrivariate Mittag-Leffler-type function obtained by separation of variables and successive approximations.