Fractional singular Sturm-Liouville operator for Coulomb potential
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Publication:1653193
DOI10.1186/1687-1847-2013-300zbMath1391.81081OpenAlexW2109183118WikidataQ59295107 ScholiaQ59295107MaRDI QIDQ1653193
Publication date: 17 July 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2013-300
fractionalspectralSturm-Liouville operatorsingularSturm-Liouville problemCoulomb potentialCaputo fractional derivative
Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fractional ordinary differential equations (34A08)
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Cites Work
- Fundamental spectral theory of fractional singular Sturm-Liouville operator
- Computing eigenelements of Sturm-Liouville problems of fractional order via fractional differential transform method
- Existence and uniqueness of positive solutions for a singular fractional three-point boundary value problem
- An efficient method for solving fractional Sturm-Liouville problems
- Asymptotic integration of \(1+\alpha\)-order fractional differential equations
- On fractional Schrödinger equation in \(\alpha \)-dimensional fractional space
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Conditional optimization problems: fractional order case
- New applications of the variational iteration method -- from differential equations to \(q\)-fractional difference equations
- Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential
- Eigenvalue problems of the model from nonlocal continuum mechanics
- On the oscillation of fractional differential equations
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