Contents V.10, N.2, 2019

  • HILFER FRACTIONAL SPECTRAL PROBLEM VIA BESSEL OPERATOR
    ETIBAR PANAKHOV, AHU ERCAN, ERDAL BAS, RAMAZAN OZARSLAN (pp. 199-211)

    • Abstract.

    In this paper, we deal with a modified fractional Hilfer Sturm–Liouville operator for Bessel potential and we show the self-adjointness of the operator, orthogonality of distinct eigenfunctions and reality of eigenvalues. Also, we obtain an integral representation of solution and we give a numerical method for obtaining numerical results by changing some values illustrated by graphics.

    Keywords:

    Hilfer, Bessel, spectral theory, fractional, Sturm-Liouville.

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