New numerical analysis of Riemann-Liouville time-fractional Schrödinger with power, exponential decay, and Mittag-Leffler laws

DOI10.22436/jnsa.010.08.18zbMath1415.65181OpenAlexW2748101218WikidataQ115496157 ScholiaQ115496157MaRDI QIDQ4632570

Ilknur Koca, Abdon Atangana, Badr Saad T. Alkahtani

Publication date: 30 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.08.18

zbMATH Keywords

Schrödinger equationnumerical schemepower lawexponential decay lawMittag-Leffler law

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

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Cites Work

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• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
• A new fractional operator of variable order: application in the description of anomalous diffusion
• Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu

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