TITLE:
Existence and Stability Results for Impulsive Fractional q-Difference Equation
AUTHORS:
Min Jiang, Rengang Huang
KEYWORDS:
Impulsive Fractional q-Difference Equation, Hyers-Ulam Stability, Existence, q-Calculus
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.7,
July
30,
2020
ABSTRACT: In this paper, we study the boundary value problem for an impulsive fractional q-difference
equation. Based on Banach’s contraction mapping principle, the existence and
Hyers-Ulam stability of solutions for the equation which we considered are
obtained. At last, an illustrative example is given for the main result.