TY - JOUR ID - 703268 TI - Solving conformable fractional Sturm-Liouville equations using one class of special polynomials and special functions JO - Mathematical Analysis and its Contemporary Applications JA - MACA LA - en SN - AU - Ansari, Arslan Hojat AU - Maksimovic, Snjezana AD - Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa-0204, South Africa AD - Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Bosnia and Herzegovina Y1 - 2023 PY - 2023 VL - 5 IS - 1 SP - 69 EP - 84 KW - a conformable fractional derivative KW - Sturm-Liouville theory KW - Mittag-Leffler functions DO - 10.30495/maca.2023.1988807.1070 N2 - 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 specialpolynomials are established and conformable fractional derivatives of certain Mittag-Leffler functions are determined. UR - https://www.macajournal.com/article_703268.html L1 - https://www.macajournal.com/article_703268_041faafd9a0423026865a02d7416c308.pdf ER -