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Al-Salam, W.A. (1966) Some Fractional q-Integral and q-Derivatives. Proceedings of the Edinburgh Mathematical Society, 15, 135-140.
https://doi.org/10.1017/S0013091500011469

has been cited by the following article:

• 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.