TY - JOUR
T1 - Solvability and Stability for Singular Fractional $(p, q)$-Difference Equation
AU - Qin , Zhongyun
AU - Sun , Shurong
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 647
EP - 661
PY - 2022
DA - 2022/06
SN - 3
DO - http://doi.org/10.12150/jnma.2021.647
UR - https://global-sci.org/intro/article_detail/jnma/20688.html
KW - Fractional $(p, q)$-difference equation, Existence of solution, Stability, $(p, q)$-Gronwall inequality, Uniqueness.
AB - <p style="text-align: justify;">In this paper, we initiate the solvability and stability for a class
of singular fractional $(p, q)$-difference equations. First, we obtain an existence
theorem of solution for the fractional $(p, q)$-difference equation. Then, by using
a fractional $(p, q)$-Gronwall inequality, some stability criteria of solution are
established, which also implies the uniqueness of solution.</p>