Document Type : Original Article


1 Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa-0204, South Africa

2 Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Bosnia and Herzegovina


The objective of this paper is to solve conformable fractional Sturm-Liouville equations using one class of special polynomials and special functions introduced in [13]. Also, the connection between Mittag-Leffler functions and special
polynomials are established and conformable fractional derivatives of certain Mittag-Leffler functions are determined.