TY - JOUR
T1 - Well-Posedness for Fractional $(p, q)$-Difference Equations Initial Value Problem
AU - Zhou , Mi
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 565
EP - 579
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.565
UR - https://global-sci.org/intro/article_detail/jnma/21952.html
KW - Well-posedness, fractional $(p, q)$-difference equation, initial value
problem, fractional $(p, q)$-Gronwall inequality.
AB - <p style="text-align: justify;">In this paper, we investigate a class of the fractional $(p, q)$-difference
initial value problem with the fractional $(p, q)$-integral boundary conditions
with the aid of the method of successive approximations(Picard method) and
fractional $(p, q)$-Gronwall inequality, obtaining sufficient conditions for the existence, uniqueness and continuous dependence results of solutions.</p>