ON A TIME-NONLOCAL BOUNDARY VALUE PROBLEM FOR TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

A boundary value problem with a nonlocal m-point condition in time for a space-degenerate partial differential equation involving the bi-ordinal Hilfer fractional derivative is the main subject of the present investigation. We aim to prove a unique solvability of this problem based on certain properties of the Legendre polynomials and the two-parameter Mittag-Leffler function. An explicit solution to the considered problem is found in the form of the Fourier-Legendre series.

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