Trace formula and inverse nodal problem for a conformable fractional Sturm-Liouville problem
From MaRDI portal
Publication:4991468
DOI10.1080/17415977.2019.1615909zbMath1461.34010OpenAlexW2946094287MaRDI QIDQ4991468
Aliasghar Jodayree Akbarfam, Hamid Mortazaasl
Publication date: 3 June 2021
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2019.1615909
eigenvalueseigenfunctionsnodal pointsSturm-Liouville problemtrace formulareconstruction formulainverse nodal problemsinfinite product representationexpansion theoremconformable fractional derivatives and integrals
Related Items (13)
Inverse nodal problem for a conformable fractional diffusion operator ⋮ The dual eigenvalue problems of the conformable fractional Sturm-Liouville problems ⋮ Some notes on conformable fractional Sturm-Liouville problems ⋮ On nodal properties for some nonlinear conformable fractional differential equations ⋮ Inverse problems for a conformable fractional Sturm-Liouville operator ⋮ Uniqueness of the potential in conformable Sturm‐Liouville problem ⋮ Extension of the variational method to conformable quantum mechanics ⋮ An inverse three spectra problem for parameter-dependent and jumps conformable Sturm-Liouville operators ⋮ Inverse fractional Sturm‐Liouville problem with eigenparameter in the boundary conditions ⋮ Unnamed Item ⋮ An inverse problem for Sturm–Liouville operators with nodal data on arbitrarily-half intervals ⋮ Inverse problems for one dimensional conformable fractional Dirac type integro differential system ⋮ Well-posedness of inverse Sturm-Liouville problem with fractional derivative
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional Sturm-Liouville problem
- New properties of conformable derivative
- What is a fractional derivative?
- Trace formulae for the matrix Schrödinger equation with energy-dependent potential
- Trace and inverse problem of a discontinuous Sturm-Liouville operator with retarded argument
- On conformable fractional calculus
- Fractional Newton mechanics with conformable fractional derivative
- Fractional Sobolev's spaces on time scales via conformable fractional calculus and their application to a fractional differential equation on time scales
- Stochastic solutions of conformable fractional Cauchy problems
- Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications
- Traces of differential operators
- A generalization of the trace concept
- Inverse nodal and inverse spectral problems for discontinuous boundary value problems
- Fractional-order systems and controls. Fundamentals and applications
- Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation
- Inverse spectral theory using nodal points as data - A uniqueness result
- Remarks on a new inverse nodal problem
- Eigenvalue estimates and trace formulas for the matrix Hill's equation
- On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion
- General conformable fractional derivative and its physical interpretation
- FTS and FTB of conformable fractional order linear systems
- Inverse nodal problems of discontinuous Sturm-Liouville operator
- Conformable derivative approach to anomalous diffusion
- A new definition of fractional derivative
- Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales
- Inverse problems: dense nodal subset on an interior subinterval
- On the inverse nodal problems for discontinuous Sturm-Liouville operators
- Inverse nodal problems for the Sturm-Liouville equation with polynomially dependent on the eigenparameter
- A solution of the inverse nodal problem
- On the determination of a differential equation from its spectral function
- Inverse nodal problems for Sturm–Liouville equation with eigenparameter-dependent boundary and jump conditions
- New Trends in Nanotechnology and Fractional Calculus Applications
- Solution of inverse nodal problems
- The inverse nodal problem on the smoothness of the potential function
- Reconstructing the potential function and its derivatives using nodal data
- Inverse nodal problems for Sturm - Liouville equations with eigenparameter dependent boundary conditions
- On a uniform approximation of the density function of a string equation using eigenvalues and nodal points and some related inverse nodal problems
- Fractional Order PDαJoint Control of Legged Robots
- Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate
- Properties of the Katugampola fractional derivative with potential application in quantum mechanics
- Inverse problems for the boundary value problem with the interior nodal subsets
- The regularized trace of Sturm–Liouville problem with discontinuities at two points
- A new inverse nodal problem
This page was built for publication: Trace formula and inverse nodal problem for a conformable fractional Sturm-Liouville problem