Inverse nodal problem with fractional order conformable type derivative

Abstract

The present paper is about the inverse nodal problem for Sturm-Liouville problem with eigenparameter in the boundary condition using the conformable derivative approach. We defined a function f(µ) generally in the boundary condition and we found the zeros of the eigenfunctions (nodal points) by nucleus function K(x, t), which is a derived transformation operator. Then, we obtained the potential function by using the nodal parameters.