Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition Article Swipe

PDF

Related Concepts

Eigenfunction Conformable matrix Mathematics Eigenvalues and eigenvectors Constructive Operator (biology) Mathematical analysis Inverse Boundary value problem Inverse problem Cardinal point NODAL Modified nodal analysis Boundary (topology) Applied mathematics Geometry Computer science Physics Operating system Biochemistry Chemistry Repressor Transcription factor Medicine Gene Process (computing) Optics Anatomy Quantum mechanics

Yaşar Çakmak ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.17776/csj.1243136 · OA: W4382775249

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.