On a nonlinear fractional (p, q)-difference Schrödinger equation

被引：0
作者：
Zhongyun Qin
Shurong Sun
机构：
[1] University of Jinan,School of Mathematical Sciences
来源：
Journal of Applied Mathematics and Computing | 2022年 / 68卷
关键词：
Fractional (;  ; )-difference Schrödinger equation; Boundary value problem; Fixed point theorem in cones; Existence of solution; 26A33; 34A12; 34B15; 39A13;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the boundary value problem of a class of fractional (p, q)-difference Schrödinger equations. By applying Banach contraction mapping principle and a fixed point theorem in cones, we obtain the existence and uniqueness of solutions for the boundary value problem. An example illustrating the main results is also presented.
引用
收藏
页码：1685 / 1698
页数：13
相关论文
共 50 条
[31]   On a fractional p-q Laplacian equation with critical nonlinearity [J].
Zhen Zhi ;
Zuodong Yang .
Journal of Inequalities and Applications, 2020
[32]   Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Equations Involving the Fractional p(x, ·)-Laplacian [J].
Russian Mathematics, 2023, 67 :67-77
[33]   Infinitely Many Solutions for Schrödinger-Choquard-Kirchhoff Equations Involving the Fractional p-Laplacian [J].
Li Wang ;
Tao Han ;
Ji Xiu Wang .
Acta Mathematica Sinica, English Series, 2021, 37 :315-332
[34]   Positive solutions for eigenvalue problems of fractional q-difference equation with φ-Laplacian [J].
Wang, Jufang ;
Yu, Changlong ;
Zhang, Boya ;
Wang, Si .
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[35]   Asymptotics of Wave Functions of the Stationary Schrödinger Equation in the Weyl Chamber [J].
S. Yu. Dobrokhotov ;
D. S. Minenkov ;
S. B. Shlosman .
Theoretical and Mathematical Physics, 2018, 197 :1626-1634
[36]   On the Dirichlet problem for the Schrödinger equation in the upper half-space [J].
Bo Li ;
Tianjun Shen ;
Jian Tan ;
Aiting Wang .
Analysis and Mathematical Physics, 2023, 13
[37]   Regularity properties of the cubic biharmonic Schrödinger equation on the half line [J].
Basakoglu, Engin .
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (04)
[38]   On the Dirichlet problem for the Schrödinger equation in the upper half-space [J].
Li, Bo ;
Shen, Tianjun ;
Tan, Jian ;
Wang, Aiting .
ANALYSIS AND MATHEMATICAL PHYSICS, 2023, 13 (06)
[39]   Multi-strip fractional q-integral boundary value problems for nonlinear fractional q-difference equations [J].
Nittaya Pongarm ;
Suphawat Asawasamrit ;
Jessada Tariboon ;
Sotiris K Ntouyas .
Advances in Difference Equations, 2014
[40]   Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces [J].
H. El-Houari ;
L. S. Chadli ;
H. Moussa .
Advances in Operator Theory, 2022, 7
12345