A unique weak solution for the fractional integro-differential Schrödinger equations (Q6098349)

scientific article; zbMATH DE number 7695255

Language	Label	Description	Also known as
English	A unique weak solution for the fractional integro-differential Schrödinger equations	scientific article; zbMATH DE number 7695255

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instance of

scholarly article

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title

A unique weak solution for the fractional integro-differential Schrödinger equations (English)

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author

Elyas Shivanian

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Seyed Jalal Hosseini Ghoncheh

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Hojjatollah Goudarzi

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published in

Mathematical Sciences

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publication date

13 June 2023

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zbMATH Keywords

fractional Laplacian

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integro-differential equation

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existence

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uniqueness

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40096-021-00435-z

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cites work

On the weak solutions of an overdetermined system of nonlinear fractional partial integro-differential equations

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A unique weak solution for a kind of coupled system of fractional Schrödinger equations

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Boundary value problems for differential equations with fractional order and nonlocal conditions

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Variational Methods for Nonlocal Fractional Problems

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Bright and dark solitons of the generalized nonlinear Schrödinger's equation

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Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations

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Non-local Diffusions, Drifts and Games

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Ground state solutions of asymptotically linear fractional Schrödinger equations

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Doubly resonant semilinear elliptic problems via nonsmooth critical point theory

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A free fractional viscous oscillator as a forced standard damped vibration

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Hitchhiker's guide to the fractional Sobolev spaces

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Existence and Uniqueness of Solutions for a Class of Singular Nonlinear Two-Point Boundary Value Problems with Sign-Changing Nonlinear Terms

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A critical Kirchhoff type problem involving a nonlocal operator

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Weak solutions to a system of nonlinear fractional boundary value problems via variational form

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Existence of solutions to a class of nonlinear second order two-point boundary value problems

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The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

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Critical point theory and Hamiltonian systems

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Q4872505

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Variational approach to impulsive differential equations

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Numerical approximation of the fractional Laplacian via $hp$-finite elements, with an application to image denoising

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Q3749777

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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Existence results for nano boundary layer flows with nonlinear Navier boundary condition

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Existence of at Least Three Distinct Weak Solutions for a Class of Nonlinear System of Fractional Differential Equations

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On the existence of multiple solutions of a class of third-order nonlinear two-point boundary value problems

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Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear Navier boundary condition: Existence of four solutions

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Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems

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From the long jump random walk to the fractional Laplacian

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A study on linear and nonlinear Schrödinger equations by the variational iteration method

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Existence of weak solutions for a fractional Schrödinger equation

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Positive solutions to singular boundary value problem for nonlinear fractional differential equation

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Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity

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Identifiers

zbMATH Open document ID

1518.35252

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Mathematics Subject Classification ID

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10.1007/S40096-021-00435-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:6098349