Abstract
In this manuscript, we consider the conformable fractional Sturm-Liouville problem (CFSLP) with finite numbers of transmission conditions at an interior point in [0, ?]. Also, we study the uniqueness theorem for inverse second order of fractional differential operators by applying three spectra with a finite number of discontinuities at interior points. For this aim, we investigate the CFSLP in three intervals [0, ?], [0, p], and [p, ?] such that p ? (0, ?) is an interior point.
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