The interior inverse spectral problem for differential pencils with the conformable fractional derivative

Abstract

In this article, we consider a fractional differential pencil with the conformable derivative and spectral boundary conditions. The inverse problem is studied and it is shown that potentials and boundary conditions are uniquely determined by one spectrum together with a set of values of eigenfunctions at x=c alpha.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x =c_{\alpha }.$$\end{document}