TY  - JOUR
ID  - Abdolrazaghi2020
LB  - Abdolrazaghi2020
AU  - Abdolrazaghi, Fatemeh
AU  - Razani, Abdolrahman
TI  - A unique weak solution for a kind of coupled system of fractional Schrödinger equations
ST  - A unique weak solution for a kind of coupled system of fractional Schrödinger equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 3
SP  - 313
EP  - 322
DO  - https://doi.org/10.7494/OpMath.2020.40.3.313
UR  - https://doi.org/10.7494/OpMath.2020.40.3.313
AB  - In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.
KW  - fractional Laplacian
KW  - uniqueness
KW  - weak solution
KW  - nonlinear systems
SN  - 1232-9274
ER  -