Highly accurate solutions for space–time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions

Mathematical Sciences ◽

10.1007/s40096-021-00437-x ◽

2021 ◽

Author(s):

M. H. Heydari ◽

M. Razzaghi

Keyword(s):

Continuous Solution ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

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Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.06.003 ◽

2020 ◽

Vol 387 ◽

pp. 124489 ◽

Author(s):

Yin Yang ◽

Jindi Wang ◽

Shangyou Zhang ◽

Emran Tohidi

Keyword(s):

Convergence Analysis ◽

Collocation Method ◽

Spectral Collocation Method ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Spectral Collocation ◽

Fractional Schrödinger Equations ◽

Jacobi Spectral Collocation Method

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Strichartz estimates for space-time fractional Schrödinger equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.123999 ◽

2020 ◽

Vol 487 (2) ◽

pp. 123999

Author(s):

Jin Bong Lee

Keyword(s):

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

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Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.05.002 ◽

2020 ◽

Vol 156 ◽

pp. 276-302 ◽

Author(s):

Ahmed S. Hendy ◽

Mahmoud A. Zaky

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Consistency Analysis ◽

Fractional Schrödinger Equations ◽

Global Consistency

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An improved collocation method for multi-dimensional space–time variable-order fractional Schrödinger equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.09.009 ◽

2017 ◽

Vol 111 ◽

pp. 197-218 ◽

Author(s):

A.H. Bhrawy ◽

M.A. Zaky

Keyword(s):

Collocation Method ◽

Dimensional Space ◽

Time Variable ◽

Schrodinger Equations ◽

Variable Order ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Dimensional Space Time

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Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107321 ◽

2021 ◽

Vol 120 ◽

pp. 107321

Author(s):

Quanqing Li ◽

Jianjun Nie

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Supercritical Exponent ◽

Fractional Schrödinger Equations ◽

Sign Changing Solutions

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Nonlinear Fractional Schrödinger Equations in R^N

10.1007/978-3-030-60220-8 ◽

2021 ◽

Author(s):

Vincenzo Ambrosio

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-016-1045-0 ◽

2016 ◽

Vol 55 (4) ◽

Author(s):

Xiaoming He ◽

Wenming Zou

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Nonlinearities ◽

Fractional Schrödinger Equations ◽

Concentration Result

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Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds

Journal of Functional Analysis ◽

10.1016/j.jfa.2018.07.006 ◽

2018 ◽

Vol 275 (8) ◽

pp. 1943-2014

Author(s):

Van Duong Dinh

Keyword(s):

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

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Ground state of solutions for a class of fractional Schrödinger equations with critical Sobolev exponent and steep potential well

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4527 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7255-7266 ◽

Author(s):

Liuyang Shao ◽

Haibo Chen

Keyword(s):

Ground State ◽

Critical Sobolev Exponent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Potential Well ◽

Fractional Schrödinger Equations ◽

Steep Potential Well ◽

Sobolev Exponent

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The attractor of the dissipative coupled fractional Schrödinger equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2820 ◽

2013 ◽

Vol 37 (5) ◽

pp. 645-656 ◽

Author(s):

Ming Cheng

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

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