HILFER FRACTIONAL SPECTRAL PROBLEM VIA BESSEL OPERATORETIBAR PANAKHOV, AHU ERCAN, ERDAL BAS, RAMAZAN OZARSLAN (pp. 199-211)
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.
Hilfer, Bessel, spectral theory, fractional, Sturm-Liouville.