In this paper, we consider the inverse nodal problem for the conformable fractional diffusion operator with parameter-dependent Bitsadze–Samarskii type nonlocal boundary condition. We obtain the asymptotics for the eigenvalues, the eigenfunctions, and the zeros of the eigenfunctions (called nodal points or nodes) of the considered operator, and provide a constructive procedure for solving the inverse nodal problem, i.e., we reconstruct the potential functions p(x) and q(x) by using a dense subset of the nodal points.
Diffusion operator Inverse nodal problem Conformable fractional derivative Nonlocal boundary condition
Diffusion operator Inverse nodal problem Conformable fractional derivative Nonlocal boundary condition
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Publication Date | June 30, 2023 |
Submission Date | January 27, 2023 |
Acceptance Date | June 6, 2023 |
Published in Issue | Year 2023Volume: 44 Issue: 2 |