Inverse nodal problem for a conformable fractional diffusion operator
Yaşar Çakmak
Abstract
In this paper, a diffusion operator including conformable fractional derivatives of order {\alpha} ({\alpha} in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained. Furthermore, an effective procedure for solving the inverse nodal problem is given.
Topics & Concepts
Conformable matrixEigenfunctionMathematicsInverseMathematical analysisInverse problemOperator (biology)DiffusionCardinal pointOrder (exchange)Applied mathematicsEigenvalues and eigenvectorsNODALModified nodal analysisCurrent (fluid)Differential operatorSimple (philosophy)Inverse scattering problemAnisotropic diffusionFractional Differential Equations SolutionsDifferential Equations and Boundary ProblemsThermoelastic and Magnetoelastic Phenomena