Conformable fractional Sturm-Liouville problems on time scales

PAŞAOĞLU B. , TUNA H.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.7925
  • Title of Journal : MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Keywords: dynamic equations on time scales, eigenfunction expansions, eigenfunctions, self-adjoint operators, spectrum, CALCULUS, OPERATOR, COMPLETENESS

Abstract

We consider a conformable fractional Sturm-Liouville problem on bounded time scales. Firstly, the existence and uniqueness of solutions of the conformable fractional Sturm-Liouville problem are proved. Maximal and minimal symmetric operators are introduced and some results are given. Finally, the Green's function of this problem is constructed, and an eigenfunction expansion is given.