A modification of \(\mathsf {WKB}\) method for fractional differential operators of Schrödinger's type
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Publication:1682234
DOI10.1007/s13324-016-0143-7zbMath1379.34053OpenAlexW2529687374MaRDI QIDQ1682234
Kazem Pichaghchi, Khosro Sayevand
Publication date: 29 November 2017
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-016-0143-7
Schrödinger equationlocal fractional derivativeMittag-Leffler stability\(\mathsf {WKB}\) approximationexact \(\mathsf {WKB}\) analysis
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Fractional ordinary differential equations (34A08)
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Cites Work
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- One-phase problems for discontinuous heat transfer in fractal media
- A tutorial review on fractal spacetime and fractional calculus
- On calculus of local fractional derivatives
- Quantization of fractional systems using WKB approximation
- Fractional WKB approximation
- Calcul exponential des opérateurs microdifférentiels d'ordre infini. II
- Calcul exponentiel des opérateurs microdifférentiel d'ordre infini. I
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the exact WKB analysis of operators admitting infinitely many phases.
- Quantization of Christ-Lee model using the WKB approximation
- From exact-WKB towards singular quantum perturbation theory
- Quantization of higher-order constrained Lagrangian systems using the WKB approximation
- Lyapunov stability solutions of fractional integrodifferential equations
- Analytical treatment of Volterra integro-differential equations of fractional order
- Successive approximation: a survey on stable manifold of fractional differential systems
- Quantized contact transformations and pseudodifferential operators of infinite order
- Exact WKB analysis and cluster algebras
- Seminar on Micro-Local Analysis. (AM-93)
- QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION
- About non-differentiable functions
