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A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations

Communications in nonlinear science & numerical simulation, 2018-01, Vol.54, p.428-452

Aboelenen, Tarek

2018

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Convergence analysis of a fast second‐order time‐stepping numerical method for two‐dimensional nonlinear time–space fractional Schrödinger equation

Numerical methods for partial differential equations, 2023-01, Vol.39 (1), p.657-677

2023

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A potential‐free field inverse time‐fractional Schrödinger problem: Optimal error bound analysis and regularization method

Mathematical methods in the applied sciences, 2021-01, Vol.44 (2), p.1219-1251

2021

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Time fractional evolution of the two-level system interacting with light field

Laser physics letters, 2017-11, Vol.14 (11), p.115202

2017

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Solutions of the Radial Component of the Fractional Schrödinger Equation Using N-Fractional Calculus Operator

Differential equations and dynamical systems, 2020, Vol.28 (1), p.191-199

2020

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Two‐grid finite element method on grade meshes for time‐fractional nonlinear Schrödinger equation

Numerical methods for partial differential equations, 2024-03, Vol.40 (2), p.n/a

2024

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Dynamical behaviours and soliton solutions of the conformable fractional Schrödinger-Hirota equation using two different methods

Journal of Taibah University for Science, 2022-12, Vol.16 (1), p.66-74

Odabasi Koprulu, Meryem

2022

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Fractional Schrodinger equations with new conditions

Electronic journal of differential equations, 2018-01, Vol.2018 (5), p.1-12

Abderrazek Benhassine

2018

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Optical soliton solutions of the (1+1)-dimensional space-time fractional single and coupled nonlinear Schrödinger equations

Results in physics, 2020-09, Vol.18, p.103211, Article 103211

2020

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The higher order fractional Calderón problem for linear local operators: Uniqueness

Advances in mathematics (New York. 1965), 2022-04, Vol.399, p.108246, Article 108246

2022

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Pointwise Convergence of the Fractional Schrödinger Equation in ℝ

Taiwanese journal of mathematics, 2022-02, Vol.26 (1), p.177-200

2022

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Ground state solutions for nonlinear fractional Schrodinger equations involving critical growth

Electronic journal of differential equations, 2017-03, Vol.2017 (80), p.1-19

2017

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Symmetry of standing waves for two kinds of fractional Hardy-Schrödinger equations

Alexandria engineering journal, 2021-08, Vol.60 (4), p.3991-3995

2021

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Two-dimensional line defect lattice solitons in nonlinear fractional Schrödinger equation

Optics and laser technology, 2024-08, Vol.175, p.110870, Article 110870

2024

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PT symmetry in a fractional Schrödinger equation

Laser & photonics reviews, 2016-05, Vol.10 (3), p.526-531

2016

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Abruptly autofocusing of polycyclic tornado symmetric Pearcey vortex beams in the fractional Schrödinger equation

Physics letters. A, 2024-05, Vol.505, p.129436, Article 129436

2024

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Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

Fundamenta informaticae, 2019-01, Vol.166 (2), p.87-110

Abu Arqub, Omar

2019

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Symmetry breaking of spatial Kerr solitons in fractional dimension

Chaos, solitons and fractals, 2020-03, Vol.132, p.109602, Article 109602

2020

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An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

Journal of computational physics, 2015-07, Vol.293, p.238-251

2015

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L estimates for fractional Schrödinger operators with Kato class potentials

Journal of Differential Equations, 2018-11, Vol.265 (9), p.4181-4212

2018

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Existence of bound and ground states for a class of Kirchhoff‐Schrödinger equations involving critical Trudinger‐Moser growth

Mathematical methods in the applied sciences, 2019-02, Vol.42 (3), p.806-820

2019

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Existence of solutions for perturbed fractional p-Laplacian equations

Journal of Differential Equations, 2016-01, Vol.260 (2), p.1392-1413

2016

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Crank–Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

Journal of computational physics, 2013-06, Vol.242, p.670-681

2013

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A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

Journal of computational physics, 2015-08, Vol.294, p.462-483

2015

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Normalized solutions for the fractional NLS with mass supercritical nonlinearity

Journal of Differential Equations, 2021-06, Vol.286, p.248-283

2021

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A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations

Convergence analysis of a fast second‐order time‐stepping numerical method for two‐dimensional nonlinear time–space fractional Schrödinger equation

A potential‐free field inverse time‐fractional Schrödinger problem: Optimal error bound analysis and regularization method

Time fractional evolution of the two-level system interacting with light field

Solutions of the Radial Component of the Fractional Schrödinger Equation Using N-Fractional Calculus Operator

Two‐grid finite element method on grade meshes for time‐fractional nonlinear Schrödinger equation

Dynamical behaviours and soliton solutions of the conformable fractional Schrödinger-Hirota equation using two different methods

Fractional Schrodinger equations with new conditions

Optical soliton solutions of the (1+1)-dimensional space-time fractional single and coupled nonlinear Schrödinger equations

The higher order fractional Calderón problem for linear local operators: Uniqueness

Pointwise Convergence of the Fractional Schrödinger Equation in ℝ

Ground state solutions for nonlinear fractional Schrodinger equations involving critical growth

Symmetry of standing waves for two kinds of fractional Hardy-Schrödinger equations

Two-dimensional line defect lattice solitons in nonlinear fractional Schrödinger equation

PT symmetry in a fractional Schrödinger equation

Abruptly autofocusing of polycyclic tornado symmetric Pearcey vortex beams in the fractional Schrödinger equation

Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

Symmetry breaking of spatial Kerr solitons in fractional dimension

An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

L estimates for fractional Schrödinger operators with Kato class potentials

Existence of bound and ground states for a class of Kirchhoff‐Schrödinger equations involving critical Trudinger‐Moser growth

Existence of solutions for perturbed fractional p-Laplacian equations

Crank–Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

Normalized solutions for the fractional NLS with mass supercritical nonlinearity

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