Mathematical Analysis and its Contemporary Applications

Solving conformable fractional Sturm-Liouville equations using one class of special polynomials and special functions

https://doi.org/10.30495/maca.2023.1988807.1070
Volume 5, Issue 1
Winter 2023
Pages 69-84
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Arslan Hojat Ansari 1
Snjezana Maksimovic 2

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

Abstract
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.

Keywords

a conformable fractional derivative
Sturm-Liouville theory
Mittag-Leffler functions
  • Receive Date 30 January 2023
  • Revise Date 11 March 2023
  • Accept Date 11 March 2023

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